Kieran Magee returned after a one-week concussion lay-off in an otherwise unchanged starting XI.
Electing to play up the hill in the opening 45 Horndean forced the first corner of the match as Rob Hutchings and Curtis Da Costa slipped.
Cade Dyer took this but it went out for a goal kick.
Wild had a shot at the other end, although it was blocked and Isaac Bello’s corner was gathered by keeper Cameron Scott.
Rob Hutchings got across to clear as Zak Willett got in on Emmett Dunn and the visitors broke up the left.
Wild and Clack then hooked up for a cross and Joe Clarke had a go and won a corner.
Hutchings whipped this over for Connor Cody and next Dunn to head over.
Former Chi player Robert Taw then steered the ball out for a throw as Mo Jammeh and Clack combined.
Bello launched this long again and Taw conceded a corner which came to nothing.
Referee Jonathan Wilks overlooked a foul on Clack in the box but the Chi player put the Sussex side one up from the spot in the 18th minute after Dyer’s handball and red card.
A couple of minutes later Connor Duffin was booked for a foul on Da Costa before Bello hit a poor cross.
The hosts won a free-kick which Joe Clarke, magnificent all game, cleared and then Da Costa struck an effort over the bar on 25, as did Wild on the turn a minute later.
Duffin did well to hold off opponents before Clarke conceded a set-piece which Duffin fired off target.
Willett picked up a yellow card and then a neat exchange of passes between Hutchings, Clarke, Dunn, Jammeh and Joe Moore led to a corner.
Wild dragged an attempt wide on 35 and Magee dealt with a cross from the right as the ten-man Deans broke.
A super run from Bello teed up Wild for a shot that Scott got behind easily enough.
Next, Clarke was fouled but Cody’s free-kick was a little too strong and nice play from Clack set up Bello whose touch was too firm.
Duffin made way for Liam Callaghan in the 41st minute and Hutchings found Wild for a free-header which he couldn’t convert.
Then Bello had an effort blocked and Clack fizzed a loose one wide as we entered added on time.
Willett and Callaghan threatened but Chi smuggled the ball under control and Wild doubled the visitors’ lead in the 5th minute of stoppage time with a fantastic header, his eighth goal in seven games, after clever play from Clack and Jammeh.
The away side forced a couple of corners in the first minutes of the second half.
Clack then fired a shot off target and Taw was flagged offside.
Scott did well on 55 and the hosts forced a throw with a bit of pressure.
Clack fizzed a cross over which just missed Wild and Bello.
Dunn conceded a free-kick in the 57th minute after a sharp Horndean move and Tommy Scutt ended Bello’s run with a fine tackle.
Both Bello and Clarke had chances on 65 although the ball was turned out for a corner which Hutchings delivered.
Willett then cut inside but the move got snuffed out and Prichard replaced Bello on 68.
The sub’s first contribution nearly led to an immediate impact although Scott pulled off a fine stop.
Chi’s top scorer, out for some time, then won a corner which Hutchings took and Clarke struck just wide.
Cody joined the others in the notepad with 15 to go and Magee, against his former club, punched the free-kick away.
The Chi No1 was also called into action to deny Callaghan and another Deans’ attack fizzled out.
Matthew Kellet-Smith was cautioned late on for a foul and the hosts manager Michael Birmingham was sent to the stands late on.
Wild rose to beat Callaghan to the ball and win a corner on 87 which Prichard took and then the Chi substitute wrapped things up in the final minute with a lovely long-ranger after smart work from Jammeh.
Lloyd Rowaltt and Kaleem Haitham were introduced for Jammeh and Wild in additional time as Chichester recorded their third 3-0 win on the bounce in a eight-game run where they’ve scored 21 and conceded only two.
Other results increase their advantage in the play-off places.
They welcome Sheppey United to Oaklands Park on Saturday 23rd March (Kick Off 3pm).
Chichester – Magee, Dunn, Hutchings, Moore, Da Costa, Cody, Clack, Clarke, Wild, Jammeh, Bello. Subs – (O’Brien, Munt, Prichard, Rowlatt, Haitham).
