The flanker - who also captained the team in the closing stages - burrowed over from close range on the stroke of half-time, and with 16 unanswered second-half points they recorded a 23-14 victory.
Ethan Waller and Ryan Glynn started the game, with Dickinson coming on after half-an-hour and Tom Warren and Matt Williams both coming on in the second half.
However neither Darrell Dyer nor Teimana Harrison could help Cambridge avoid going down to a heavy National League One defeat at Tynedale.
