Lawrence is entertained by kind of party food (8)
I believe the answer is:
catering
'party food' is the definition.
'lawrence is entertained by kind' is the wordplay.
'lawrence' becomes 'te'.
'is entertained by' indicates putting letters inside (I've seen this in other clues).
'kind' becomes 'caring' (I've seen this before).
'te' placed into 'caring' is 'CATERING'.
'of' is the link.
(Other definitions for catering that I've seen before include "activity at event" , "Making allowances" , "provision of food" , "Providing food, entertainment etc." , "Providing food and services" .)