Cleeve recorded successive victories with a three-wicket win against Midsomer Norton seconds on Saturday.
Captain Tom Carpenter won the toss and chose to field but Norton openers Harrison Veale and Luke Justin made a strong start, sharing 51 runs.
Veale was caught behind by a stunning one-handed dive by wicket-keeper Carpenter off the bowling of Mitch Want.
Want then removed Justin and bowled Chris Hampshire for his third wicket, closely followed by wickets for Connor Hance and Josh Carpenter to leave Norton 102-5.
They would eventually reach 157 all out, after wickets from Hance, Alfie Parsons and Andy Barnsley.
But Hance fell lbw second ball for a duck and Sam Williams, looking good, was caught for 24.
Cleeve rallied with Barnsley (47) and Want (35) putting on 76, as Dan Jones and Phil Gostlin contributed 13 runs each.
And Ellis Turner (six not out) and Max Viney (seven not out) held firm to push Cleeve over the line ahead of a trip to leaders Hambrook.
Cleeve seconds lost by five wickets against Backwell Flax Bourton in their derby.
Flax got an early breakthrough and Cleeve were 57-2, before Carey Elswood (15) joined Kelston Crew to help stabilise the innings.
Crew went on to score 50, while Sam Dodge claimed 3-38 alongside Kumar Upasak (3-28) before Mark Jones stepped up and scored 33 before being caught and bowled.
Chasing 145, Flax lost an early wicket to Jack Spiers (3-20), but Ewen Macgregor scored 30 alongside Adam Cooper.
Macgregor was stumped by Carey Elswood, with Chris Toole (24) taking Flax closer before being caught behind off Cam Elswood (1-29).
However, Cooper (64 not out) gave Flax the win with six overs remaining.
Cleeve welcome Midsomer Norton Methodist this week in an effort to get back to winning ways.
The Sunday XI tasted success after beating neighbours Claverham by 51 runs in a 35-over friendly.
Cleeve started well before Ellis Turner departed for 15, with opening partner Alfie Parsons retiring out on 51.
Alex Soch and Alex Nicholls supported with double-figure scores and Tom Birt (47) and Robbie Wilsher (15) took Cleeve to a strong total of 218-4.
Soch struck early in Claverham's chase thanks to a smart catch from Tom Brown and Cleeve picked up regular wickets through the innings thanks to Paul Todd, Terry Horler, and Turner.
Nicholls bowled the final over and picked up two wickets, leaving Claverham on 167-7, some 51 runs short of their target in a well-played game by both teams.
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