Former AFC Bournemouth youth team midfielder Luke Burbidge gave the Dolphins an unexpected lead with a strong header, despite the Cherries creating more chances in the first-half.
Burbidge then set up striker Alex Baldacchino to give Poole a two-goal lead going into half-time. The Cherries hit back in the second-half through substitute and development player Ryan Case, but 2-1 was how it stayed.
Paul Groves’ men kicked off with a tempo reminiscent of the 13-0 demolition of New Milton. Harry Arter had an early chance with a free-kick, but his effort was comfortably saved by Poole goalkeeper Jordan Seabright.
But it was the hosts who took a surprise lead in the eighth when two ex-Cherries players combined. Former Cherries winger Carl Preston crossed in from the left, and Burbidge found the net with a bullet header.
The lively Lewis Grabban twice came close to making a speedy equaliser when his close-range effort was saved by Seabright before the ex-Cherries ‘keeper was tested from long range.
Marc Pugh then created an opening with some good work down the left. His in-swinging cross found Thomas, but the striker’s header looped just over the bar.
Some excellent team play soon followed from the Cherries and the ball fell to Thomas, but his strike was well save by the palm of Seabright before Tubbs had an ambitious shot from range swerve just over.
Pugh then made a spirited run down the left, beating his man before delivering a well-placed pass to Thomas, but the ex-Crawley man fired over.
Just before half-time, and the Dophins made it two. Burbidge crossed in for Baldacchino, who made no mistake with a strike that Shwan Jalal could do nothing about.
Groves made two changes at the break, with development player Jamal coming on for Arter in midfield, and Bowles making way for youngster Baily Cargill – who slotted in at left-back with trialist Darius Waters switching flanks.
Cargill made an instant impact with a clever lofted through ball which found Matt Tubbs, who tested Seabright from a difficult angle.
Just after the hour mark, first-year pro Harrison Gilkes came on for Grabban, who was greeted by applause from the Tatnum crowd.
Development players Alex Moth, Jayden Stockley and Ryan Case were then all introduced to provide the Cherries with fresh legs as they aimed to reduce the deficit.
Bournemouth were then awarded a free-kick in a dangerous position, but Pugh’s shot sailed over the bar – and that was the winger’s last involvement as he made way for 15-year-old Sam Matthews.
With just seven minutes left, the Dolphins looked to be coasting to a 2-0 win before Case pulled one back for the Cherries after heading in from close range after a good build up.
Substitute Jayden Stockley went close to netting a dramatic equaliser, but his strike was just wide of the goal.
Cherries: Jalal, Bowles (Cargill 45), Addison, Barrett (Case 68), Waters, Grabban (Gilkes 62), Arter (Jamal 45), Gregory (Makoni 80), Pugh (Matthews), Thomas (Stockley 68), Tubbs (Moth 68).
Dophins: Seabright, Clarke, Spetch, Dibba, Walker, Howes, Brookes, Devlin, Baldacchino, Preston, Burbidge.