Conversation so far:
What point was considered the height of their commercial success?
1983 saw the release of Speaking in Tongues, a commercial breakthrough that produced the band's only American Top 10 hit.
Was that their best selling album?
Speaking in Tongues.
Did they break up after this album came out?
It took until December 1991 for an official announcement to be made that Talking Heads had broken up.
Why did they break up?
Light.
During that time, the group was falling increasingly under David Byrne's control and, after Naked, the band went on "hiatus".
Was there a lot of fighting among the band members?
CANNOTANSWER.

Question: Did the band ever come back after going on hiatus?
Self-contained rewrite: Did the Talking Heads ever come back after going on hiatus?