The number nine completed his hat trick in the opening 30 minutes to create an unassailable gap between the two sides.
Alex Macalister pulled one back for the Town but the Bees did enough to progress into the hat for the next round.
The Bees took the lead in the eigth minute as Chime intercepted a loose back-pass before rounding the ‘keeper and slotting home into an empty net.
Further chances fell the way of the young Bees as Bala and Titchmarsh fired narrowly off target as Dan Senda’s side started on the front foot.
Chime was at it again 20 minutes before the break as he headed home from George Murphy’s knockback to double the Bees advantage.
It didn’t take long for the young number nine to net his hat-trick as he superbly cut inside to curl into top right-hand corner to extend the scoreline to three within half hour.
Into the second half and Aymen Azaze made a super double stop, firstly he got down well to his feet before brilliantly blocking the rebound from all of three yards out.
Azaze was called into action again as he tipped round a Camberley forwards long range effort.
The visitors pulled one back as Alex Macalister sent a looping header into the far corner from a Town set piece.
The game settled down somewhat after the Town goal and the Bees controlled possession to see out another win on home turf in the FA Youth Cup.
But in added time Chime added his and the Bees fourth of the evening to cap a superb performance!