I killed it with Round-up.

In 2020 I noticed a new weed in my small, northwestern South Carolina yard that looked like the leaves in your photo, but it was not Melothria pendula. The small, perfectly round, almost translucent-looking fruit looked like round pearls spaced out on a long thin stem. They easily fell off the thin vine with the slightest disturbance. The leaf is shaped like an ivy leaf, but it is wimpy, weightless and not as substantial as an ivy leaf. I do not know the name of this plant.

Check Walter’s site for control creeping cucumber.

Creeping Cucumber – Identification

Without its flowers I can’t tell for certain if this is creeping cucumber (Melothria pendula). Flowers & fruits are needed to confirm or rule this suggestive ID. According the included link below: “Dogs are known to eat the leaves (creeping cucumber) without any apparent side effects.” When this blooms & you still don’t know, please resubmit with photo of flowers. Copy & paste the site for information. Best wishes to you & your dog.

https://en.wikipedia.org/wiki/Melothria_pendula