Satisfied, engaging a lounge singer (4,4)
I believe the answer is:
meat loaf
'singer' is the definition.
(American singer)
'satisfied engaging a lounge' is the wordplay.
'satisfied' becomes 'met' (as in 'met the conditions of his contract').
'engaging' means one lot of letters goes inside another.
'lounge' becomes 'loaf' (synonyms).
'met' placed around 'a' is 'meat'.
'meat'+'loaf'='MEAT-LOAF'
(Other definitions for meat loaf that I've seen before include "Bully-beef etc" , "Baked savoury dish" , "baked in a tin?" , "food" , "Mince dish and pop singer" .)