Worrying about empty table supplying food (8)
I believe the answer is:
catering
'supplying food' is the definition.
('cater' can be a synonym of 'supply food')
'worrying about empty table' is the wordplay.
'worrying' becomes 'caring'.
'about' is an insertion indicator.
'empty' suggests removing the centre.
'table' with its centre taken out is 'te'.
'caring' going around 'te' is 'CATERING'.
(Other definitions for catering that I've seen before include "essential feature of the tourist industry" , "Providing food, entertainment etc." , "provision of food" , "Supplying food and drink" , "The supplying of meals" .)