Skipper Mark Arber netted a 39th-minute penalty, sending Shwan Jalal the wrong way after Peter Gain had been upended in the box.
There was precious little action in the first half as Paul Benson turned Graeme Montgomery's cross over the bar for the hosts, while Brett Pitman fired Bournemouth's best chance off target.
After the break, Liam Feeney forced Tony Roberts into a save before Gain drilled just wide. Roberts made a brave save from Pitman's header, before Daggers went close to a second as Benson's shot crashed against the bar and Montgomery's follow-up was knocked off the line.
Anton Robinson went close to an equaliser but fired wide from 16 yards, and then Montgomery should have made victory secure, only to skew off target from just outside the box.
Scott came close to killing the game off but his snapshot was somehow saved by the wrong-footed Jalal, before the keeper then twice saved from the striker when he was sent one-on-one.