Drift catching current finally hooking fish (8)
I believe the answer is:
stingray
'fish' is the definition.
(stingray is a kind of fish)
'drift catching current finally' is the wordplay.
'drift' becomes 'stray' ('stray' can be a synonym of 'drift').
'catching' indicates putting letters inside.
'current finally' becomes 'ing' (I can't explain this - if you can you should give a lot more credence to this answer).
'stray' enclosing 'ing' is 'STINGRAY'.
'hooking' is the link.
This may not be correct. It may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for stingray that I've seen before include "swimmer" , "Large venomous fish -- it's angry (anag)" , "TV show" , "Fish with venomous tail" , "Flatfish with barbed spine" .)