Can finish in any minute (4)
I believe the answer is:
tiny
'minute' is the definition.
(thesaurus)
'can finish in any' is the wordplay.
'can' becomes 'tin' ('tin' can be a synonym of 'can').
'finish in' indicates one should take the final letters.
The final letter of 'any' is 'y'.
'tin'+'y'='TINY'
(Other definitions for tiny that I've seen before include "- - Tim (Dickens)" , "pocket" , "Underdeveloped" , "Small child" , "Minute, diminutive" .)