Favors made a bank shot and a reverse layup to give Utah 92-89 edge late in the fourth quarter. Crawford responded with a tying 3-pointer before Rudy Gobert's dunk gave the Jazz the lead back with 1:02 left.
Paul's 3 with 41.7 left put the Clippers back in front. Favors made a free throw at the other end, tying it at 95, but Crawford hit his fifth 3 with 18.5 seconds remaining and Hawes added a breakaway dunk to seal the win.
Griffin and Jazz reserve forward Trevor Booker had to be separated after Booker committed a hard foul on Griffin's drive to basket with 2:56 left in the third quarter and Jazz leading 66-61. The referees took another look at the sequence on the replay screen at midcourt and assessed a flagrant 1 foul on Booker, who also received a technical foul along with Griffin and Paul.
The Clippers used a 9-2 run over the final 1:15 of the third quarter to take a 75-74 lead. It included a four-point play by Crawford, who holds the NBA career record in that category with 41 during the regular season.
The Jazz led 47-46 at halftime.
Take a behind-the-scenes look at the Thunder's dominating Game 4 performance against the Warriors.
LeBron James gets a steal and goes to the other end for the soaring two-handed slam dunk.
Kevin Love launches a full-court pass to LeBron James for the ferocious one-handed dunk, putting the Cavs up 31.