'lots of chat' is correct and can be used in written English.
It is typically used to imply that there has been a lot of talk or discussion about a particular topic. For example, "At the meeting, there was lots of chat about ways to improve customer service."
There's always lots of chat about what news has broken, so no one has time to feel sleepy.
This work has grabbed the headlines and generated lots of chat about ideas and value in contemporary art, which in itself is always a good thing.
Ross, she said, "wants anecdotal and incidental stuff familiar to Americans... dope on fields of the arts and a little on fashion, perhaps... there should be lots of chat about people seen about and in it all he wants a definite personality injected.
Lots of chat with his partner Jimmy, they are doing their very best to keep the number of overs tonight to a minimum.
She'll be full of fighting talk in the first episode introduction VTs – lots of chat about "kicking butt" and "showing the kids who is boss" – but it will quickly become apparent that she's actually just a Very Nice Lady who is in no way cut out for a televised mud-slinging contest with a bunch of roided estate agents.
"I've had lots of chats with lots of people, as have my team, and it's very interesting.
This involves lots of chatting, giggling, tea drinking and homemade cake.
I had to do lots of chatting, negotiating, entertaining, discussing and questioning.
Lots of chatting across tables and with the owner-chef, who spends a lot of time in the dining room.
When I came here, I went for lots of chats with people because I didn't know what to do.
No IPTV, but lots of chatting going on during shows from loyal users.
