Plane maybe carrying a pair of bishops, bearing more weight? (8)

I believe the answer is:

flabbier

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'bearing more weight?' is the definition.
(flabby can mean fat)

'plane maybe carrying a pair of bishops' is the wordplay.
'plane maybe' becomes 'flier' (planes fly).
'carrying' means one lot of letters goes inside another.
'pair of' says to double the letters (I've seen 'pair' mean this).
'bishops' becomes 'b' (this might be a standard abbreviation which I don't know about).
'b' duplicated is 'bb'.
'a'+'bb'='abb'
'flier' going around 'abb' is 'FLABBIER'.

Can you help me to learn more?

I've seen this clue in The Times.

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