If you got 1st, 2nd, or 3rd place in a contest and wanted to enter a contest of mine after you the one you won, you can still enter but you would get no higher than an honorable mention.
Of course, this wouldn't count if you won a place in a contest and then there were only two or three contestants in the contest after including you. If this happens then you would not be able to get 1st place two times in a row (but you would be able to gt 2nd or 3rd place two times in a row).