Liam Feeney grabbed a second-half winner to earn Bournemouth a 1-0 win and dash any hopes of a happy homecoming for new Cheltenham boss Mark Yates.
The former Robins favourite was taking charge of his first match since being appointed manager but, despite overseeing an improved display, emerged empty-handed thanks to Feeney's brilliant strike.
The winger grabbed only his second goal of the season with a curling shot past Scott Brown after 57 minutes.
Minutes earlier Jeff Goulding had gone close for the promotion hopefuls, heading a Warren Cummings cross from the right flank against the post.
Cheltenham, inspired by the lively David Hutton, saw defender Ashley Eastham's header saved low on the line by Shwan Jalal while the keeper clung on to a low shot from Justin Richards in the 68th minute.
Barry Hayles wasted a glorious chance to equalise, skewing a left-footed shot wide after good work down the right by David Pipe.
Joss Labadie, one of five changes under Yates in the Cheltenham line-up, whistled a shot just wide after 80 minutes with the keeper beaten but Bournemouth held on.
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