Fetching details from the dictionary...
to cling to; to stick to; to lie flat (e.g. on the ground)
岩にへばり付いて流されないようにした。
I clung to the rock to keep from being swept away.
子供が母親にへばり付いている。
The child is clinging to his mother.
汗ばんでシャツが皮膚にへばり付くのが不快だ。
It's uncomfortable when a sweaty shirt clings to your skin.