Still, the abominable snowman has no tail (3)
I believe the answer is:
yet
'still' is the definition.
(yet can mean still or so far)
'abominable snowman has no tail' is the wordplay.
'abominable snowman' becomes 'yeti' (I've seen this in another clue).
'has no tail' means to remove the last letter.
'yeti' with its last letter taken away is 'YET'.
'the' is the link.
(Other definitions for yet that I've seen before include "Though; still" , "Up to this time and continuing" , "in spite of that" , "Still, even" , "Still, so far" .)