Well, that was a big fish, right? Big enough to eat Tobias' foot and also big enough to feed Tobias for a while. That fact that it was such a big fish concordes with a theme which is very common in folklore story telling, where the hero has to fight a big animal, a dragon, a monster comming out from the waters and then the monster, once concquered, becomes a source of life/power for the hero. Here as well, the fish is trying to eat Tobias' foot, yet Tobias following Raphael’s instruction, seizes the fish, and this becomes a source of healing. (In a more detail on this and especially with respect to the relationship between big fish and the hero plese see D. Bergant & R. J. Karris, The Collegeville Bible commentary, Liturgical Press, Collegeville, Minn., 1989, p. 837) Now as we read this as an allusion to Jonas' story, we can think that it was something like the Leviathan.
If you're having a look in the Haydock's Catholic Bible Commentary (it is 1859, but interesting), there you can find a sort of a list of attempts people made during history to estabslih what sort of a fish this was. See below a short version of this list:
Fish. The learned are of opinion that this was the fish which Pliny
calls callyonymus, (l. xxii. ch. 7.) the gall of which is of sovereign
virtue to remove white specks that grow over the eyes. Ch.—Other
fishes have the like virtue; and as the aforesaid has no scales, and
is not above a foot long, it could not be lawfully eaten by the
Israelites, nor could it suffice for ten days’ provision, v. 6. Lev.
11:10. Others, therefore, prefer the sea-calf, (Brado) the
hippopotamus, (Grot.) the crocodile, (Carthus.) whale, (Theophylact.)
sturgeon, or silurus. Bochart, Anim. iv. 15.—But there are great
difficulties with respect to all these; and Fran. George adopts the
sentiment of the Rabbins in favour of the pike, which seems the least
objectionable, as it has scales, gills, and cannot live long out of
water, v. 4. It grows to a great size in the Tigris, and its gall is
good for the eyes.
**G. L. Haydock, Haydock's Catholic Bible Commentary (Tob 6:2), Edward
Dunigan and Brother, New York, 1859**
Commentators from early ages were more direct:
Bede, On Tobit 6.1–2.15: Here again the mystery of the Lord’s passion is quite obviously signified. For the huge fish, which, since
it wanted to devour him, was killed by Tobias on the angel’s
instructions, represents the ancient devourer of the human race, that
is, the devil.(Tob 6:3) When the latter desired the death of humanity
in our Redeemer, he was caught by the power of the divinity. The river
Tigris, which, because of its swift current, takes its name from the
tiger, a very swift animal, intimates the downward course of our death
and mortality.[The connection between “Tigris” and “tiger” has no
etymological foundation, even if it is traditional.] In it lurked a
huge fish, inasmuch as the invisible seducer of the human race held
the power of death.(Heb 2:14)
S. J. Voicu, Apocrypha. Ancient Christian Commentary on Scripture OT
15, InterVarsity Press., Downers Grove, IL, 2010, p. 17