Within limits, gives personal service (7)
I believe the answer is:
vespers
'service' is the definition.
(vespers is a church service)
'within limits gives personal' is the wordplay.
'within' indicates the answer is hidden within the clue.
'VESPERS' is hidden within 'limits gives personal'.
(Other definitions for vespers that I've seen before include "Evening service" , "Evensong - RC service" , "Evening prayers" , "An hour of worship" .)