Mountain goat from heart of Tibet, and last of lynx (4)
I believe the answer is:
ibex
'mountain goat' is the definition.
(I've seen this before)
'heart of tibet and last of lynx' is the wordplay.
'heart of' says to take the centre.
'and' is a charade indicator (letters next to each other).
'last of' says to take the final letters.
The middle of 'tibet' is 'ibe'.
The last letter of 'lynx' is 'x'.
'ibe'+'x'='IBEX'
'from' is the link.
(Other definitions for ibex that I've seen before include "Large-horned wild goat" , "one seldom puts a foot wrong" , "one used to high living" , "Wild goat of North Africa" , "Mountain goat with long curved horns" .)