Obsession around suppressing a tantrum in modern eatery (9)
I believe the answer is:
gastropub
'modern eatery' is the definition.
'obsession around suppressing a tantrum' is the wordplay.
'obsession' becomes 'bug'.
'around' is a reversal indicator.
'suppressing' means one lot of letters goes inside another.
'tantrum' becomes 'strop'.
'bug' reversed gives 'gub'.
'a'+'strop'='astrop'
'gub' enclosing 'astrop' is 'GASTROPUB'.
'in' acts as a link.
(Other definitions for gastropub that I've seen before include "Bar serving high-quality food" , "Place to eat" , "Local with good food" , "Place for beer and good food" , "Bogus trap (anag) -- somewhere good to eat and drink?" .)