Chester battled to a goalless draw in the longest away day of the season - making it three clean sheets on the bounce to start the National League season.
The opening quarter of an hour or so was a scrappy affair - with Ben Heneghan forcing Mitch Walker into an early save from a Rooney free kick.
Stefan Payne responded for the hosts, but was denied - firstly by an incredible Luke George block - and then by clearing the crossbar with a volley.
A Chester corner almost led to the opener, with Hannah teeing up Rooney, but the latter saw his shot pushed round the post by Walker.
The midfielder was causing problems in the final third - moments later just failing to get the telling touch to a low Ryan Higgins cross.
Nevertheless, Chester would go closest in the half twice in the space of two minutes - courtesy of Ross Hannah.
Firstly, he latched onto a loose ball and lashed a shot against the crossbar - then being denied by Walker from close range when he really should have opened his account for the league season.
Just before the break, Duane Ofori-Acheampong muscled Higgins off the ball - but could only blast the ball past the post.
The hosts were starting to take a stranglehold on the game as the second half progressed - and almost bagged the opener on 57 minutes.
Ricky Miller latched onto a loose ball and lobbed Worsnop, but - with the home fans already celebrating - Johnny Hunt was back to hook the ball off the line.
Just after the hour mark, the pressure would continue as Miller found himself in behind the defence - skinning Higgins - but Worsnop made an excellent stop one-on-one.
The Blues were looking to use the height of sub Craig Hobson to exploit the hosts, and it almost worked when he headed Tom Shaw's cross against the bar.
Nevertheless, both sides struggled to find the winning goal - as the game ebbed out to a goalless draw.
Dover: Walker, Magri (Wynter 66), Raggett, Orlu, Bellamy, Miller (Diallo 71), Ofori-Acheampong, Grimes, Sterling, Deverdics, Payne.
Subs Not Used: Young, Parkinson, Rafferty.
Chester: Worsnop, Higgins, Heneghan, Sharps, Hunt, George, Shaw, Rooney, Mahon (Hobson 62), Hannah, Chapell (Thomson 72).
Subs Not Used: Forth, Tonge, Kay.
Referee: Constantine Hatzidakis.