Spoiler Alert: Ok BlkCat, if I remember correctly, this is what you do,
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click on person who is carring the lamp, click on the "use" button, scroll to put lamp in use window, then use it on another person like you would use a potion. When the Genie comes, while he is talking, drop the lamp and let another person pick it up and use it again as before. Unsure what the record for uses are, but you can at least get each party one thing this way, maybe more. . .
I hope this helps, if not we can search for threads that have better answers.
Mammawlin
