Article V of the US Constitution states:
"The Congress, whenever two thirds of both Houses shall deem it necessary, shall propose Amendments to this Constitution, or, on the Application of the Legislatures of two thirds of the several States, shall call a Convention for proposing Amendments..."
No Constitutional Convention has ever been called so it's not even clear exactly what Congress would have to do to convene a convention but a number of people, mostly Conservatives, are beginning to seriously consider trying to get "two thirds of the several States" to apply for such a convention.
The objective would be to propose amendments near and dear to Conservatives hearts including a Balanced Budget Amendment and a Congressional Term Limit Amendment. These are two amendments that I am sympathetic toward by the way. But as they say, the devil is in the details and I'd have to know more about any such amendments because I could say for certain one way or the other.
The fear of course is that any convention would attempt veer into other areas such abortion access and gay marriage which would be a big mistake.
I suspect the effort is doomed to failure though because there are far too many open questions including how would representatives to the convention be chosen and what would the Rules of Order of the convention be?
Besides, I don't see why a convention would be any less politically gridlocked than Congress.