I've not quite got to that stage yet. (I've has 7 months of chemo this year and I'm now just over halfway through 37 radiotherapy sessions). However I think that my attitude towards periodic check-ups is likely to be reasonably positive, because that's the way I am generally (i.e. I'll be thinking "At least I'm still around to be called in for a check-up, which is definitely better than the alternative"!).
I can't say that I might not be very slightly worried. (I suppose that it's only natural). However I didn't exactly go into panic mode when I was called back into the hospital after my prostate op. I knew that the only reason I could think of for that would be that they were going to tell me I'd got cancer but I just shrugged my shoulders and though "OK, let's just find out what they've got to tell me". Later, when I was told that the scans showed my cancer had spread to my bones and lymph nodes, and is incurable, I still didn't worry greatly. I just asked a direct question: "Will I still be here this time next year". Fortunately the answer was in the affirmative but even if it hadn't been, I'm sure that I would have just thought "Oh well, que sera, sera" and then got on with what was left of my life.
I know that not all people are the same but I'm simply not the worrying sort really.