I think it probably depends on the reason the eye is sticking. As guineapigtamer explained, sometimes it's becasuse of the way the doll was stored (or sleeping). After reading that dolls with sleep eyes should never be stored on their back, I noticed that at the AG store, the ones they are selling are all stored with their boxes in an upright position. I've also read that it's better to keep them face down, rather than on their back.

Another reason dolls' eyes stick is due to rust. While I can't remember if I've ever tried it or not, I've read that a few drops of MACHINE oil in the corner of the eye can correct it.

Finally, I've also found that if the problem is new to a particular doll . . . especially if it's been laying in the same position for an extended period of time . . . sometimes it just takes a few taps on the temple of the affected side to start it moving again. If it works, I generally repeat that step several times asd keep an eye on the doll for the next few days, checking it periodically. If the problem returns, I figure it's probably time for a trip to the ophthamologist at AG's doll hospital!