After a cold feel like something is stuck in my throat constantly clearing it have no problem swallowing food or drinking ?

It's not over yet: ''Til the fat lady sings." You still have mucus being produced in your nose which instead of coming out the nostrils drops down the back end and you feel it and 'clear' your throat. Eventually your nose stops producing the protective layer of mucus and there you are, free and clear at last, ready for your next cold! Stay well!