Cheese does contain fat content that when eaten in excess could clog your arteries.
But eating some cheese everyday or every other day is not gonna clog your arteries as long as your arteries are in good health already.
If you have arteries that are not clogged as of now then eating some cheese is not gonna clog your arteries.
But if you eat too much cheese and already have experienced blood clots then you could get another blood clot from eating too much cheese.
Cheese is healthy though in moderation but if you already have heart disease or other heart issues or suffer from blood clots then watch your intake of cheese.