Be good making earnest request (3)

I believe the answer is:

beg

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

'earnest request' is the definition.
'beg' can be an answer for 'request' (thesaurus). I'm unsure of the 'earnest' bit.

'be good' is the wordplay.
'good' becomes 'g' (abbreviation).
'be'+'g'='BEG'

'making' acts as a link.

Can you help me to learn more?

(Other definitions for beg that I've seen before include "Plead or importune" , "Ask humbly" , "Implore, solicit" , "Plead like mendicant" , "Beseech or ask for charity" .)

I've seen this clue in The Sun.

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