My cuttings are in a mini "greenhouse" under two fluorescent lights, I have all of them under a table in a room. I always root cuttings of any plant in a similar manner. Fluo light is of constant intensity, the "day length" is up to you, and never burns the plants. Inside the home the temp is constant (65º-70º F), and in cuttings zone maybe a little bit higher due to lights. Optimal for rooting figs.

http://www.infojardin.com/fotos/albums/userpics/Esquejes.jpg

I use two fluorescent tubes of 18 W (18 inches long approx.), both are standard tubes for home use (cool-white), I have no problems with it and the cuttings and seedlings grow well with this kind of light, however, some experts recommend to combine cool-white with warm-white (1+1).
Due to the small scale of my "nursery" I use the smallest tube, all the sizes of standard tubes have similar light power but, of course, the bigger tube size the more power consumption (more watts).
Long time ago I used window lights but in winter the sun light is too weak and the day length is very short, insufficient for a decent growing of seedlings and cuttings. With this method I can grow anytime in the year, in any case, it is only for rooting process, after ended that it is preferably that the plant adapts to and grows in sun light.
A good light-dark cycle is 15 hours light + 9 hours dark per day and, very important to take advantage of light, the fluo tubes must be very near the top of seedlings or cuttings (2 inches), though it is more critical for seedlings that for cuttings (no problem with distances up to 5 inches). For turn on / off the lights I use a cheap time programmer (here I found it for $5), with this, there is no problem if you aren't at home.

With this method my figs start to show roots in 3 weeks (it depends on the fig variety). The best media for me is straight perlite, inside the box there is no evaporation, the air is moist saturated, perlite don't waterlog even in this environment.

I have not properly linked my photo. Here you are:

Sorry! I have forgotten another thing, What a day!

The media in the photo is coconut fiber+perlite (1+1), it is my first trial, it was unsuccessful due to excesive moist. Roots initiated well but days later they rotted, I got to save something of them changing to straight perlite. Ever since I use straight perlite with excellent results.

I have tried other medias (vermiculite, perlite+vermiculite) with bad results. In this environment, these mixes can be good for other plant cuttings but not for figs.

What about my heat mat? should I turn it off along with the lights, or should I leave it running continuously?