Verb
To form a close relationship with (someone).
I hear that John has taken up with Jane.
To become interested in (something).
To begin living together with; to lodge with.
(archaic) To be contented to receive; to receive without opposition; to put up with
Used other than figuratively or idiomatically: see take, up, take up, with.
He took them up with him on his next trip to the mountains.
He took up painting with his wife.
He took up the overpayment with his supplier.
This is not a rail against the bastards who immediately take up with another younger woman and spend time with her kids. Source: Internet
"It's my hope that those wonderful ladies will want to pick up where they left off and take up with some of these other fundraisers," she said. Source: Internet