Mop up pint in vain display of importance (4)

I believe the answer is:

pomp

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'vain display of importance' is the definition.
I can't tell whether this defines the answer.

'mop up pint in' is the wordplay.
'up' indicates an anagram (letters get chucked up).
'pint' becomes 'p' (this could be a standard abbreviation which I don't know about).
'in' means one lot of letters goes inside another.
'mop' with letters rearranged gives 'omp'.
'omp' going around 'p' is 'POMP'.

Can you help me to learn more?

(Other definitions for pomp that I've seen before include "Ceremony and splendour" , "Boastful display" , "Great ceremony" , "Self-importance" , "Ceremoniousness" .)

I've seen this clue in The Irish Times.

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