Former Durham and Lancashire paceman John Wood (5-20) and Scotland seamer Iain Wardlaw (4-28) produced sizzling spells with the new ball as Bradford & Bingley were dismissed for 67 in reply to 158.
Opener Tim Jackson (48) and James Lee (32) were Cleckheaton’s top scorers as spinner Noman Ali (5-32) posed problems.
After 11 games, Cleckheaton have 141 points and are 11 ahead of Woodlands, who were indebted to Sarfraz Ahmed (6-41) for securing their 17-run win at lowly Yeadon.
Kiwi Elliott hit a defiant 73 as Yeadon made 179-8 in reply to Woodlands total of 196 in which Sam Frankland made 40.
Pudsey St Lawrence opener Mark Robertshaw took his tally for the season to 554 with 158 not out as they beat Hanging Heaton by 116 runs to move within one point of Woodlands.
Robertshaw, who hit two sixes and 21 fours, was supported by captain James Smith (60) and Callum Goldthorp (44) as St Lawrence made 294-4 before dismissing Hanging Heaton for 139. The last eight wickets fell for 35 runs as spinners Chris Marsden (4-37) and Tom Hudson (4-51) struck.
Former St Lawrence batsman Alex Stead made a sparkling 152 as Lightcliffe compiled 280-6 on their way to a 79-run win over Morley. He hammered nine sixes and 13 fours and gained support from Michael Brooke (55).
Morley’s reply of 201-9 was dominated by opener Matthew West’s 94. Spinners Chris Greenwood (3-21), Suleman Khan (3-49) and Daanyaal Ahmed (3-62) shared the wickets.