There is no statutory time period. If your contract doesn't state times for completion, then a court would attempt to find a "reasonable" time. So, it would be up to you to show the court why the amount of time involved was unreasonable.
The legal action is called "breach of the implied covenant of good faith," which means that the other party is wrongfully preventing you from obtaining the benefit of the bargain, in this case, payment for your work upon completion. Your damages would be payment for the job, whether completed or not, or alternatively, an order that the contractor permit you to complete the job.
Depending upon how much money is at stake, you could sue in small claims court. But, if it's a lot of dough, then you will probably need a lawyer and litigation costs could get very expensive for everyone rather quickly.
You may want to consider hiring an attorney to contact the general contractor and "explain" things. Sometimes that can get the wheels turning.
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