Cleeve completed a hat-trick of weekend wins with success in the Somerset Intermediate Cup semi-final on Sunday.
Having won both league fixtures a day earlier, they beat Timsbury in front of a sizeable crowd to book a trip to finals day at the County Ground on August 21.
Timsbury chose to bat first and lost a wicket to the first ball from James Cole (1-29) thanks to Tom Carpenter's stumping.
Sam Williams took a catch off the bowling of Joe Hance (1-8) to make it 25-2 and Max Viney held on to give Glenn Lewin (1-29) a wicket with only two more runs added to the total.
Mitch Want produced a run out to leave Timsbury 59-4, with Hance hitting the stumps from square leg and James Ball also having success.
Connor Hance (0-18) and Viney (0-13) went unrewarded but Want struck late on as Carpenter took a catch to hold Timsbury to 108 from their 20 overs.
Williams hit a six over square leg in reply, but was then caught at cover for nine, and Ball (12) and Lewin (8) were both bowled.
Want held firm to pass his half-century, as Connor Hance (14) gave support before being caught.
And Want finished unbeaten on 62 after hitting eight fours as a six-wicket win was secured in the 19th over.
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