Crossword Genius

Believe singer on the radio a lot (5)

Ross

I believe the answer is:

share

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

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

'believe singer on the radio a' is the wordplay.
I cannot quite see how this works, but
'on' could be 're' ('on' can be mean 'with reference to') and 're' is located in the answer.
'a' is within the answer.
The remaining letters 'sh' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for share that I've seen before include "Portion, maybe of capital" , "Cutting blade" , "Have part-ownership" , "Division" , "Helping" .)

I've seen this clue in The Independent.
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