Strongly advised a bit of latitude, grudgingly turning up (5)
I believe the answer is:
urged
'strongly advised' is the definition.
(I've seen this before)
'a bit of latitude grudgingly turning up' is the wordplay.
'a bit of' indicates the answer is hidden within the clue (I've seen 'a bit' mean this (the answer is formed by a bit of the clue)).
'turning up' says the letters should be written backwards.
'degru' can be found hidden inside 'latitude grudgingly'.
'degru' reversed gives 'URGED'.
(Other definitions for urged that I've seen before include "Strongly advised" , "Pressed" , "Beseeched" , "Incited" , "Exhorted or prodded" .)