| Clevedon 1 | MKO | 2023-24|Bristol & District Chess League | No |
| Clevedon 2 | MKO | 2023-24|Bristol & District Chess League | No |
| Clevedon A | Division 2 | 2023-24|Bristol & District Chess League | No |
| Clevedon B | Division 3 | 2023-24|Bristol & District Chess League | No |
| Clevedon C | Division 4B | 2023-24|Bristol & District Chess League | No |
| Clevedon C | Division 5 | 2023-24|Bristol & District Chess League | No |
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