Usage patterns
〈人〉はしゃべりが上手だsomeone is good at talking/is a smooth talker
He's a smooth talker and popular with everyone.
しゃべりが止まらないcan't stop talking
She was having so much fun she couldn't stop talking.
〈人〉としゃべりを楽しむto enjoy chatting with someone
I enjoyed chatting with a friend at a cafe.
Expressions
しゃべりまくるtalk on and on; talk one's head off