Tip of finger stiff and frozen (6)
I believe the answer is:
frigid
'frozen' is the definition.
(I know that frozen can be written as frigid)
'tip of finger stiff' is the wordplay.
'tip of' suggests taking the first letters.
'stiff' becomes 'rigid' (synonyms).
The first letter of 'finger' is 'f'.
'f'+'rigid'='FRIGID'
'and' acts as a link.
(Other definitions for frigid that I've seen before include "Very cold; formal in behaviour" , "Lacking affection or warmth" , "Glacial" , "Frosty" , "Stiff - cold - formal" .)