Depends on the size of the hurricane, the speed that it's moving, and the size of the eye. A lot of variables to consider in your answer!

Hurricane eyes vary in size from about 5 miles to over 120 miles.http://gohsep.la.gov/factsheets/FactsAboutHurricaneEye.htm

Let's say that you're standing in the center of an eye that is 20 miles in diameter, and the hurricane is moving at 20 mph. (this is the speed of it's path, not it's spinning wind speed). You'd have about 30 minutes of time to be in the eye. There's no guarantee, however, that you wont' get some wind gusts and debris flying at you during that time.

Here's a good source on hurricane facts: http://hurricanes.noaa.gov/pdf/hurricanebook.pdf
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This is from the National Oceanic and Atmospheric Administration (NOAA)

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"A hurricane may sustain an eye for several days. How long one might be in the eye if one were sitting in one place as the hurricane passed over, is a function of two things:

- How fast is the hurricane moving? Most hurricanes may move along at 10-20 mph, but in extreme cases, they could be moving as fast at 40 mph (pretty rare), or go much more slowly, or even stall out (“quasi-stationary” as they are called). How big is the eye? The average eye is 10-40 miles in diameter, but the extremes would be 5-60 miles wide.

- How close does the exact center of the eye come to you? If the exact center of the eye comes across your location, you will be in the eye longer than if you are just brushed by the edge of the eye. It is important to realize that most people who are “hit” by a hurricane never actually get into the eye at all because the storm itself is so large compared to the eye. Those who do encounter the eye usually get the worst winds because they go through the eyewall...twice!

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You can get other information at the site as well
http://www.aoc.noaa.gov/faq.htm#howlongdoestheeyelast

It is generally considered a bad idea to go out into the eye of a hurricane as it can last just minutes or for longer periods. It is best to stay inside until it is completely over. Have a battery operated radio with you so you get get news of when it is over.

Other links
http://www.wikihow.com/Survive-a-Hurricane

http://www.secretsofsurvival.com/survival/hurricane.html
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