Fawning on, everywhere (3,4)

I believe the answer is:

all over

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'everywhere' is the definition.
(synonyms)

'fawning on' is the wordplay.
'fawning' becomes 'all' (I can't justify this - if you can you should give a lot more credence to this answer).
'on' becomes 'over' (over can mean on top of).
'all'+'over'='ALL-OVER'

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(Other definitions for all over that I've seen before include "very characteristically" , "Obsessed with" , "Finished" , "Excessively attentive" , "typically" .)

I've seen this clue in the Evening Standard.

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