Tongue-loop or pronation control
Many athletic shoes offer a loop on the middle-top of the tongue which is meant to be laced through in order to keep the tongue in place. You will find this on most decent athletic shoes like New Balance, Saucony, Brooks, Adidas or Nike.
Also, many times this annoyance can be exacerbated by low/falling-arches, and while your foot/ankle tips to the medial (inside) side, the tongue will slide in the opposite direction.
One remedy might be getting a more supportive or higher arch. Investing in some insoles/orthotics and/or shoes with pronation-control or motion-control can help tremendously.