They were probably talking about company options, with a certain expiry date and exercise price. You can trade these options just like ordinary shares.
Example:
Say the current shareprice of share xyz is now 30 cents.
You can buy options xyzo with exercise price 50 cents and expiry june 2010 for 15 cents. At the moment these options are out of the money. When the shareprice goes up to say 40 cents(+33%) in two months, the price of the options will have gone from 15 cents to maybe 25 cents (+67%). So the attraction in buying the options is the extra leverage. The extra risk is of course that if the options expire out of the money, you are left with nothing (as opposed to shares which will have a remaining value, unless the company goes completely belly up.