Witney A were pipped to third place by a point at the at Gareth Jeans Gala at Dunstable, Bedfordshire.
The swimmers of the match award went to Ella Frost, Rosie Mul-ling, Maja Sikorska and Eva Moody, who won both their relays by a big margin.
Frost and Moody also won their individual swims.
The runners-up went to Jack Kendall for his victory in the 100m breaststroke and 11-year-old Billy Wotton for a personal best in the 50m breaststroke.
Final results: 1 Linslade 185pts, 2 Flitwick 178, 3 Witney 177, 4 Dunstable 164, 5 Putterridge 162, 6 Rushden 147.