Batman's utility belt is a vital component of the crime fighters gear. It would seem to make sense that both of the Caped Crusaders would utilize such a useful addition to their costumes. What canon evidence is there(from any universe) to confirm or deny the existence of Batman's side kick, Robin, of having his own utility belt?
It definitely depends on the canon you choose.
In the 1960s TV series, you can clearly see that Robin is wearing a belt that is nearly identical to the Batman utility belt from the comic series, even down to the vertical capsules. We see him use a grappling line, smoke pellets and a homing transmitter (built into the buckle) on at least one occasion;
New TV Canon
In "Young Justice", Robin (AKA Nightwing) is described as having a belt containing a grappling gun, numerous Batarangs (regular and explosive), taser, gas pellets and a rebreather
In New Comic canon
In Teen Titans Go, Robin's Utility Belt is described as containing;
In Batman Chronicles Robin's belt is described as containing a "conceal[ed] radio set to talk to Batman"