This used to drive me mad with several 'boyfriends' waaaaaay back when I was 16-21-ish. We dated, and saw each other 2-3 times a week (in the evenings, as we worked,) and yet they always wanted to spend all of Saturday and all of Sunday with me too. 
I don't think it means you aren't into them, and you need to 'cut them loose' if you want SOME of your free time to yourself. 
I can't bear clingy people, and clingy, needy men are so unappealing. Even if I liked him to start with, I would be put right off if he started to mither me, and demand I see him during ALL of my spare time. I have actually ended several relationships in the past with men like this.
One (who worked only 12-14 hours a week at the time) used to wait for me EVERY DAY on my lunch hour. I worked 6-7 minutes walk from the shopping centre, and there was only one door in from the pathway I took from work, and he was there every bloody day.
I didn't want to stay in the office as I got badgered by people asking me to do stuff or take calls/see people.
I even TOLD him that I didn't want to meet every day, as I liked to have a look around on my own sometimes. He STILL waited there. 
Got so annoying and clingy that I dumped him, and stopped going across to town. He waited outside my workplace, looking up at the window of the office I worked in, every day for about one to two hours, (for 6 weeks,) before giving up. Fucking weirdo. I didn't date for half a year after that. Put me right off he did!
@WonderingIf38 YANBU!