what was the cleaner you used? if it was pure ammonia, its fine. if it was a cleaner like tylex or something, then no. if the cleaner suds or forms bubbls, or contains anything but water ammonia, and chelating agent its not safe.
Rinse it very well with plain water, use a scrub brush(not one that has soap, and not a sponge) if there are nooks and crannys. saok it for a few hours, and rinse again with dechlorinated water. Should be fine.