Attracted to men or women tickling in a way that's cruel (8)

I believe the answer is:

bitingly

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'attracted to men or women tickling in a way' is the definition.
I can't tell whether this defines the answer.

'cruel' is the wordplay.
I cannot quite see how this works, but
'cruel' could be 'biting' (I've seen this before) and 'biting' is found within the answer.
This explanation may well be incorrect...

'that's' acts as a link.

Can you help me to learn more?

I've seen this clue in The Guardian.

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