Mark Hughes netted the game's only goal as Accrington edged a narrow encounter at the Crown Ground.
The centre-half finished from close range with 20 minutes remaining to seal the points for his side in a game of few clear-cut chances for either team.
Gareth Ainsworth made one enforced change to the side that started in the 4-0 crushing of Crawley at the weekend, with Dominic Gape unavailable for selection so Sido Jombati slotted in at right-back, while Sam Saunders dropped off the bench due to illness.
It was a fast start to the game on a slick pitch, with the ball zipping around on a wet surface, and Stanley began to adapt to the conditions smartly with Sean McConville in particular standing out as their creative spark as the front three of Mallik Wilks, Kayden Jackson and Billy Kee looked for a way through.
Matt Bloomfield fired over from distance before Stanley’s first real chance arrived on 27 minutes when Kayden Jackson jinked onto his right foot and fired low, seeing his shot deflect towards the opposite corner but Scott Brown was equal to it.
McConville curled a free-kick over the bar from 20 yards before Brown reacted sharply to deny Wilks’ close range effort with his legs after a clever cross from that man McConville.
Billy Kee drilled over the top before the half-time whistle, and Wanderers made a change at the interval with Marcus Bean replacing Craig Mackail-Smith in a switch which saw Ebere Eze move into the frontline.
Bean fired wide on the half-volley after a free-kick was only half-cleared, before McConville curled one narrowly wide from distance and Cowan-Hall did likewise at the other end.
McConville went closer with another long-range effort which was palmed clear by Brown, but the only goal of the game arrived on 70 minutes in scrappy fashion. McConville’s free-kick was poor but a miscued clearance saw the ball remain in danger and Billy Kee poked it through a crowd of players for Mark Hughes to sidefoot home.
Luke O’Nien and Adebayo Akinfenwa sent headers goalwards in a late attempt to salvage a draw but Chapman held comfortably on both occasions and it was Stanley who were able to celebrate a first home win over the Chairboys in 11 years.