Consider the context, it is concerning Israel's history and the like temptation which can be ascertain from that in comparison to the Corinthian Church's Issues prior mentioned of fornication:
1 Corinthians 10:1-15 Moreover, brethren, I would not that ye should
be ignorant, how that all our fathers were under the cloud, and all
passed through the sea; (2) And were all baptized unto Moses in the
cloud and in the sea; (3) And did all eat the same spiritual meat;
(4) And did all drink the same spiritual drink: for they drank of
that spiritual Rock that followed them: and that Rock was Christ.
(5) But with many of them God was not well pleased: for they were
overthrown in the wilderness.
Paul at this point is showing the closeness God has with Israel in the wilderness, a closeness not to be incomparable to the Christian experience and that Rock was Christ. As Israel was close to God through they fell, so must the church be on guard as well
v.12 Wherefore let him that thinketh he standeth take heed lest he
(6) Now these things were our examples, to the intent we should not
lust after evil things, as they also lusted.
This verse (6) is among the keys of understanding the temptation of lust here presumed from Israel's examples, These have been given as example "to the intent we should not lust after evil things, as they also lusted"
(7) Neither be ye idolaters, as were some of them; as it is written,
The people sat down to eat and drink, and rose up to play. (8)
Neither let us commit fornication, as some of them committed, and fell
in one day three and twenty thousand. (9) Neither let us tempt
Christ, as some of them also tempted, and were destroyed of serpents.
(10) Neither murmur ye, as some of them also murmured, and were
destroyed of the destroyer.
The examples show direct transgression of God's Law on the part of Israel towards Idolatry and Fornication, both acts are entered into the context as the form of 'temptation' or ' lust' of "evil things" hereafter being spoken of.
And again :
(11) Now all these things happened unto them for ensamples: and
they are written for our admonition, upon whom the ends of the world
And a special notice to the next verse (12)
(12) Wherefore let him that thinketh he standeth take heed lest he
The notice is of the him that thinketh he standeth
Those whom Paul is speaking of "think" they standeth, this is εσταναι is being used in the perfect tense and active voice (presumably in faith and/or Christ is the stand), thus the perfect tense seems to imply the act is complete in the thinkers mind insomuch that he can not fall, in the thinkers mind his stand is complete, in the thinkers mind of whom Paul speaks this man needs to be cautious "lest he fall".
And then our verse of focus:
(13) There hath no temptation taken you but such as is common to
man: but God is faithful, who will not suffer you to be tempted
above that ye are able; but will with the temptation also make a way
to escape, that ye may be able to bear it.
The Temptation we are given this promise of is one of "evil things" and that which is such as is common to man , such as transgressions against God's Law, particularly Idolatry and Fornication.
There is no excuse one has who 'standeth' in Christ, with Christ as his Rock to say 'He was tempted too much by God to have not been able to "flee" from such an evil temptation or lust", God will never authorize such a situation rather man will invent the situation or not flee himself from it and escape at the expense of all else (consider Joseph,
Gen 39:12 And she caught him by his garment, saying, Lie with me: and
he left his garment in her hand, and fled, and got him out...) .
"God is Faithfull" but will we "escape" when we can? and thus juxtaposed to God's faithfulness is 'our faithfulness to escape or flee', especially in light of the examples mention from Israel's history.
(14) Wherefore, my dearly beloved, flee from idolatry. (15) I
speak as to wise men; judge ye what I say.
Does this imply that God assesses before hand what we can tolerate and then chooses the tests we will face?
God always expects his people to flee from evil things, and this is what is common to all men , this if we don't just think, but we do truly "stand in Christ" then we can faithfully endure.