Hampton took over as captain from Matt Watson for this season, but was unable to prevent a Cross side which had finished third in Division Two last season ending up second-bottom.
Hampton said: “It's been a tough year, but when I look back I have enjoyed it as well. I learnt a lot about trying to lead a team and learnt a lot about myself as a player too.
“I intend to stay on, but I will discuss next season with the club at a later date. The aim is now to bounce back, I'm sure the sole target is to get us back up.
“I always felt a couple more wins would be enough to keep us up, but as hard as we tried, we just couldn't get them.
“There was a lack of match winning performances throughout the team, whereas last year we had individual efforts which woud win us games.”
Frustrating as the Cross' final-day Duckworth-Method defeat by a single run to Shipton-under-Wychwood was on Saturday, they had already been relegated the previous week.
But Hampton can at least take comfort from his Bucks CCC team-mates, Jason and Matt Rance, who have just led Chesham CC back into the Home Counties Premier at the first attempt by winning the Thames Valley League title.
He added: “I know Matt and Jason quite well, and what they have done with Chesham will serve as an inspiration for us next season.”