Give humiliating punishment to errant fathead cruelly

I believe the answer is:

tar-and-feather

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

'give humiliating punishment to' is the definition.
I can't judge whether this definition defines the answer.

'errant fathead cruelly' is the wordplay.
'cruelly' indicates an anagram (I've seen this in other clues).
'errant'+'fathead'='errantfathead'
'errantfathead' with letters rearranged gives 'TAR-AND-FEATHER'.

Can you help me to learn more?

(Another definition for tar-and-feather that I've seen is " Punish with humiliating coverings".)

I've seen this clue in The Telegraph.

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