Most consumer-grade electronic components are rated from 0C to 70C. "Industrial" rated parts are rated from -40C to +85C. I work in Automotive electronics design and we use parts rated to +105C for entertainment products. Vehicle controls go to +125C.
I would think that most consumer grade webcams use the 0C to +70C parts. Often, there really isn't any difference with the components, it is just a different test flow at the IC manufacturer. I have however, experienced problems with electrolytic capacitors at very cold temps approaching -40C.
If your temperatures don't drop below 32F much (0C), you might be OK. I have a "weather proof" enclosure with a fan and heater. I think that the heater is worthwhile to keep the glass clear of condensation as well as any benefit for the circuitry.
I see that Olympus has a temperature range rating of 0C to 40C for this camera. With the sun beating on the enclosure, you might want to think about the high temperatures as well and consider a fan ventilated enclosure.
http://www.olympusamerica.com/cpg_section/cpg_archived_product_details.asp?id=1189&fl=4