Try to get very warm after beginning to shiver (4)
I believe the answer is:
shot
'try' is the definition.
(shot is a kind of try)
'very warm after beginning to shiver' is the wordplay.
'very warm' becomes 'hot' (I've seen this before).
'after' means one lot of letters go next to another.
'beginning to' suggests taking the first letters.
The first letter of 'shiver' is 's'.
'hot' put after 's' is 'SHOT'.
'to get' is the link.
(Other definitions for shot that I've seen before include "injured or killed?" , "Used a gun" , "Gunned down - go - guess" , "Try -- ammunition" , "Goal attempt" .)