Ipswich earned their first Premier League win of the season at Tottenham on 10 November, but the promoted side are still waiting to pick up three points in a home fixture.
The visit of Bournemouth, who were playing for the third time in nine days, represented a great opportunity to achieve that feat.
Ipswich looked much fresher from the outset, thanks to an additional two days to prepare for this game, and they penned Bournemouth back.
Chaplin's beautifully taken opener helped to raise spirits on a damp afternoon and Sammie Szmodics went close to doubling their advantage in the second half, but aside from those moments Bournemouth goalkeeper Kepa Arrizabalaga was barely tested.
Ipswich's fragile defence, which has now conceded 27 goals, was once again exposed in the latter stages as discipline went out the window when Bournemouth committed bodies forward.
Both Bournemouth goals were avoidable, with plenty back to deal with deliveries into the box, but Ipswich were found wanting.
From a mindset of stringing victories together regularly in League One and the Championship over the past two seasons, Ipswich find themselves in a wholly different situation as they scrap at the bottom of the Premier League.
Home form is often an integral part of avoiding relegation for promoted sides and Ipswich have yet to crack the code at Portman Road.
Later on Sunday, Ipswich confirmed club ambassador and former midfielder Simon Milton, 61, was "stable and communicating" after falling ill and going to hospital during the second half.
"He is in good spirits and will head home to rest," the club said.
"He would like to thank the first responders at Portman Road and those that have passed on their best wishes. At this time we ask everyone to respect the privacy of Simon and his family."