The first three shorts from Peter Browngardt (creator of Uncle Grandpa)'s "cartoonist driven" reboot, Looney Tunes Cartoons, released in June for the Annecy Film Festival. "Dynamite Dance" is the only one officially released online, but it sadly didn't contain proper animator credits (only listing the Canadian in-house studio Tonic DNA for animation).

Acording to TheToonsterGuy on Twitter, the animators on this are Guilaume Blackburn, Phil Lockerby, Alain Segurn, and Sam Cabanac.

One of the producers has said the animators are the ones coming up with the jokes. The writers only come up with story and dialogue afterward. If that's the case, then I really hope forgetting to credit the animators was a one-time mistake.

Thank you Luke for tipping me off to TheToonsterGuy's original post on the matter!

Sam Cabanac animated the cut from 0:21-026.

I don't believe it's accurate to say the animators are the ones planning all the jokes out, it seems this is being done at the animatic/storyboard stages. Michael Ruocco, a major storyboarder, has talked about pitching jokes on twitter.

He's also described the process as follows;

"To give clarity: for both David’s short and mine, we both essentially “keyed” out those cartoons, many of the scenes even broken down with breakdowns/invetweens, albeit in rough form. But it has to be said that he final animation was definitely seen through by the amazing animators at Tonic and Yowza respectively. They followed our poses/timing/direction, but they took what we gave them, and despite some back and forth (as with any production), they plussed it and made them gorgeous.
Putting the characters on model, effects. Flourishes, etc. "

to give context the short in this post is David's.

The first shot where Elmer is chasing Bugs was animated by Alain Segurn, and the shot of Elmer juggling the dynamite was animated by Guilaume Blackburn, according to an "Art of Looney Tunes Cartoons" account on Twitter and Instagram.