Terribly full, dines with chap that's dissolute (4-9)

I believe the answer is:

self-indulgent

'dissolute' is the definition.
(thesaurus)

'terribly full dines with chap' is the wordplay.
'terribly' indicates an anagram.
'with' means one lot of letters go next to another.
'chap' becomes 'gent' (I've seen this in other clues**).
'full'+'dines'='fulldines'
'fulldines' is an anagram of 'selfindul'.
'selfindul'+'gent'='SELF-INDULGENT'

'that's' is the link.

(Another definition for self-indulgent that I've seen is " Hedonistic".)

I've seen this clue in The Telegraph.

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