Dine out primarily to obtain recipe inspiration (5)
I believe the answer is:
erato
'inspiration' is the definition.
(thesaurus)
'dine out primarily to obtain recipe' is the wordplay.
'dine' becomes 'eat' (I've seen this before).
'primarily' says to take the initial letters.
'to obtain' is an insertion indicator.
'recipe' becomes 'r' (abbreviation).
The initial letter of 'out' is 'o'.
'eat'+'o'='eato'
'eato' enclosing 'r' is 'ERATO'.
(Other definitions for erato that I've seen before include "Inspiring female" , "Poet's muse" , "Who may have inspired poetry" , "Greek muse of lyric and love poetry" , "poetic patroness" .)