Harry Kane netted after just 44 seconds to give title-chasing Spurs the lead, before the England forward netted again 14 minutes later.
Christian Eriksen then scored in the second-half and manager Howe believes the game will be a good learning curve for his side to build on.
"We were well off it in the first-half in particular," Howe explained.
"We were nowhere near our normal standards, the early goal contributed to that but we fell short. It was disappointing, the early goal hurt us badly.
"In the second-half we gave it a right go, we tried to get back into it, but the third goal killed the game.
"We came here full of confidence knowing we were facing a good side, but we didn't deliver - with and without the ball we were poor.
"There's a lot we can take from them though. It can be a really good learning tool for us as they are an impressive side and we need to learn from it to continue developing."
In the two games this season against second placed Spurs, the Cherries have been defeated both times and Howe stated that they are the best side the Barclays Premier League newcomers have faced this season.
"This game is a way of telling us we have work to do and we can look at this to become the best team we can be in the long term," he continued.
"No disrespect to anyone else but in our eyes they're the best team we've played, they're someone for us to look at to try to emulate."
Read Simon Francis' reaction to the defeat at Spurs here.