Crossword Genius

Allowed in, peer fatuously around and be satisfied (7)

Ross

I believe the answer is:

replete

I'm a little stuck... Click here to teach me more about this clue!

'be satisfied' is the definition.
(I've seen this before)

'allowed in peer fatuously around' is the wordplay.
I cannot really see how this works, but
'allowed' could be 'let' (to let is to allow or permit) and 'let' is present in the answer.
an anagram of 'peer' is 'repe' which is located in the remaining letters.
No letters remain.
This explanation may well be incorrect...

'and' is the link.

Can you help me to learn more?

(Other definitions for replete that I've seen before include "Well-fed" , "Completely filled" , "Full to capacity" , "Filled, well supplied" , "Full - pet leer (anag)" .)

I've seen this clue in the Evening Standard.
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