I have some ideas!

I imagine the ways of the wrench, dynamite, kick, shield, and grenade launcher could work together to style on enemies.
I enjoyed playing Link in Smash Bros, this is reminiscent of that.

Perhaps making the dynamite bounce in a simple predictable arc when hit by non-gun player attacks (kicks, wrench, shield)?
Bouncing your own projectiles off the front of the pistol's shield?
Perhaps the ability to cancel out of reloads by switching weapons, or otherwise faster weapon switching?
Kicking away grenade launcher grenades. Both yours and the enemies'?
Sticking tripmines directly on enemies?

Some of the things i imagine doing with these are:
Bouncing dynamite, or other projectiles off the outside of the pistol's shield to shoot around corners or behind you
Kicking dynamite up off the ground and kicking it again towards an enemy, and shooting it out of the air right in their face
Throwing the wrench and then throwing dynamite at it on the way back. the dynamite flies over your head at enemies behind you
You miss a grenade launcher shot, and it lands close to you and you kick it away or kicking back enemies grenades
Sticking the tripmines on enemies bodies and kicking them away

These are likely FAR outside the scope of what the game is. This is more of a fun thought experiment for me and i figured i'd share!