Culprit given fine having split old electric guitar (8)

I believe the answer is:

offender

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'culprit' is the definition.
(I know that culprit can be written as offender)

'fine having split old electric guitar' is the wordplay.
'fine' becomes 'f' (abbreviation).
'having split' is an insertion indicator (some letters split a word into two).
'old' becomes 'o' (common abbreviation eg in OE for Old English).
'electric guitar' becomes 'fender' (famous guitar manufacturer. I am not sure about the 'electric' bit.).
'o'+'fender'='ofender'
'f' put into 'ofender' is 'OFFENDER'.

'given' acts as a link.

Can you help me to learn more?

(Other definitions for offender that I've seen before include "Committer of illegal act" , "miscreant" , "Delinquent" , "Transgressor, lawbreaker" , "guilty party" .)

I've seen this clue in The Telegraph.

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