Fibber heard offers to store Republican fliers (4-5)

'fliers' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'fibber heard offers to store republican' is the wordplay.
'fibber' becomes 'liar' (I've seen this in another clue).
'heard' indicates a 'sounds like' (homophone) clue.
'offers' becomes 'bids' ('bid' can be a synonym of 'offer').
'to store' is an insertion indicator.
'republican' becomes 'r' (abbreviation).
'liar' sounds like 'lyre'.
'bids' placed around 'r' is 'birds'.
'lyre'+'birds'='LYRE-BIRDS'

Can you help me to learn more?