The hosts ran in five tries to secure a bonus-point win, with Harvey Russell and Oscar James each bagging a brace and Joey Tucker also crossing for a try from scrum-half. Kieran Hill kicked three penalties and three conversions to finish with 15 points.
It was fly-half, Hill who opened the scoring with a well-struck penalty and he then added the extras to the first try of the game, after Oscar James touched down from a quickly taken penalty.
The visitors got themselves on the scoreboard when Kristian Taft barged over with Stephenson converting.
Hill added two more penalties to extend the Clevedon lead to 16-7, before Stephenson reduced the deficit with a three-pointer early in the second-half.
But Harvey Russell took advantage of a scrum against the head for his side’s second try of the afternoon, with Hill converting for 23-10.
Back came Drybrook and Stephenson crossed for a converted try before knocking over a penalty to close the gap to three points – but Clevedon finished with a flourish thanks to tries from Joey Tucker and Russell – from a catch and drive – to cap another fine afternoon on home soil.