B737 First Officer reported uncommanded leading edge flap deployment in cruise flight. Flight crew made an uneventful landing at destination.

Narrative

While cruising at FL320 (about 40 minutes after departure) the trim wheel started moving backwards and the speed moved from cruise speed to 230 knots by itself. We scanned the aircraft while making sure we were not getting into a stall situation. The LE (Leading Edge) FLAPS TRANSIT light was on and the number 4 amber light in the upper flight controls panel was also on. We went thru the QRH procedure; contacted Dispatch and Maintenance. the QRH made us go down to flight level 200 pull flaps to 1 then back to UP to see if it would reset. the light remained on and talking to Dispatch we made a decision to continue to ZZZ. we would be landing with about an hour of fuel and no weather or other conditions were affecting ZZZ. We had positive control of the aircraft at all times. Another Company pilot had checked the wing as well as the Captain and it didn't seem like a significant difference between that LE FLAP and the rest of them. Once with ZZZ approach we told them that we required Runway XX and our final approach speed would be around 175 knots. ATC Then decided to treat it as [priority handling] at that point so we gave souls on board and fuel. CA (Captain) landed the plane without further incident.