Something is collecting in the back of my throat. It is like a small chuck of food. I can get it out, then in another or so there is another month.?

Tonsil stones. You likely have tonsil stones (tonsillolith) developing - these are harmless bits of calcified material that develop in the crevices of your tonsils. They can make it feel like you have bits of food back there. Sometimes these can be gently removed with a qtip or a water irrigator. Talk to an ENT doctor if they're really bothersome. Best of luck!