I think of terriers, not cats, in regards to catching moles.

Have never forgotten the tale of the (English) lady doing her gardening.
The terriers were with her in the veggie patch,
"eating what they fancied and flattening the rest,"
when one of the dogs went on total alert.
The dog sensed something stirring under the earth and nearby.
Terrier reverts to type!

Growling, the dog tracked over the ground the vibrations,
and judging the right instant, dug and pounced almost at the same time. Right there in the garden patch.

Still growling, the terrier dropped what he had caught and moved back.
The lady discovered lying there,
a mole so freshly killed that it was still warm to the touch,
but undeniably dead.
It was as though that dog had given the mole a lethal fright.

The dogs would not touch the little corpse afterwards, though.
As though the mole had a bad taste or a bad odo[u]r.