Resort initially to using logical addition of kitchen utensil (7)
I believe the answer is:
spatula
'kitchen utensil' is the definition.
(I know that spatula is a type of kitchen utensil)
'resort initially to using logical addition' is the wordplay.
'resort' becomes 'spa' (spa is a kind of resort).
'initially' indicates taking the first letters.
The initial letters of 'to using logical addition' is 'tula'.
'spa'+'tula'='SPATULA'
'of' acts as a link.
(Other definitions for spatula that I've seen before include "flat mixer" , "Kitchen utensil" , "Tool with broad flexible blade - alas, put away" , "Flat blade for mixing" , "Broad implement for mixing or spreading" .)