§ 30.10 Timeliness of prosecutions; periods of limitation.
1. A criminal action must be commenced within the period of limitation prescribed in the ensuing subdivisions of this section.
2. Except as otherwise provided in subdivision three:
(a) A prosecution for a class A felony, or rape in the first degree as defined in section 130.35 of the penal law, or a crime defined or formerly defined in section 130.50 of the penal law, or aggravated
sexual abuse in the first degree as defined in section 130.70 of the penal law, or course of sexual conduct against a child in the first degree as defined in section 130.75 of the penal law may be commenced at
any time;
(b) A prosecution for any other felony must be commenced within five years after the commission thereof;
You can read the entire 30.10 online, but it appears your crime/ prosecution must be commenced within 5 years. This is usually triggered when a charge is made, either arrest/Indictment.
In niether happens within 5 years, you are clear. IF such is forthcoming, the investigation will not take that long. If the have probable cause to charge you, they will do it.

