Hurrying to arrest fool? It’s very sad (4-7)

I believe the answer is:

tear-jerking

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'very sad' is the definition.
'tear-jerking' can be an answer for 'sad' (thesaurus). I'm not certain of the 'very' bit.

'hurrying to arrest fool?' is the wordplay.
'hurrying' becomes 'tearing' (tearing is a kind of hurrying).
'to arrest' is an insertion indicator (inserted letters are arrested or held).
'fool?' becomes 'jerk' (jerk can mean a foolish person).
'tearing' placed around 'jerk' is 'TEAR-JERKING'.

'it's' is the link.

Can you help me to learn more?

I've seen this clue in The Independent.

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