Intolerant sort to leave in short while (5)
I believe the answer is:
bigot
'intolerant sort' is the definition.
(I've seen this in another clue)
'leave in short while' is the wordplay.
'leave' becomes 'go' (to go is to depart or leave).
'in' indicates putting letters inside.
'short while' becomes 'bit' (a bit of time).
'go' inserted within 'bit' is 'BIGOT'.
'to' is the link.
(Other definitions for bigot that I've seen before include "Dogmatist" , "Intolerant type" , "Racist or sexist?" , "Intolerantly prejudiced person" , "One is prejudiced and intolerant" .)