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Wiktionary
cuddle up

vb. (context intransitive English) To lie or sit in a comfortable, relaxed position, especially holding someone else.

Wikipedia
Cuddle Up

"Cuddle Up" is a song written by Dennis Wilson and Daryl Dragon for the American rock band The Beach Boys. It was concurrently released in two formats on May 15, 1972. One version was released on the album Carl and the Passions – "So Tough", and another as the b-side to " You Need a Mess of Help to Stand Alone".

Usage examples of "cuddle up".

It was considered something of a social gaffe to cuddle up to a different sort of animal.

It was considered something of asocial gaffe to cuddle up to a different sort of animal.

Now all she wanted to do was cuddle up to that warm masculine body and sleep.

She rolled over, wishing he was there to cuddle up against and knowing that because he wasn't she wouldn't sleep for wondering what he was up to.