This is the same egg mass as I saw on my Brown Turkey a few weeks ago and rubbed it out.  This time on Olympian.  Same as last time I saw a dark spot through the leaf...

 

Here it is next to a penny.  There are hundreds, maybe thousands of tiny eggs all covered in a web like covering...

 

Put it in a jar with damp paper towel.  Hope they hatch so we can see what they are!

 

Maybe somebody already knows what they are? 
 

Neem oil, with a little soap in a gallon of water sprayed all over your fig should cure this.  Neem kills everything.  The oil confuses the bugs and they forget to mate, forget to eat and they die, and their eggs are confused too... they don't think straight, and they never mature.  So sad............  Oh, it's organic too.

Suzi

I'll guess spiders.

Those are caterpillar eggs :)

If you like have a look here, and see their picture toward the bottom of the page; http://www.missouribotanicalgarden.org/gardens-gardening/your-garden/help-for-the-home-gardener/advice-tips-resources/pests-and-problems/insects/caterpillars/caterpillars-leaf-tiers-bagworms-and-web-former.aspx

If its just a few leafs why not just wipe them off with your finger? No reason to nuke every thing when it can be eaisly controlled with a little elbo grease.

unwanted! rub them off.

Hi Charlie,
Call me greedy, but did you see that you could have cut one lob of the leaf instead of the whole leaf ?

At that size, they can be anything, so just keep cleaning those without even cutting a lobe of the leaves.
I do that for some butterflies whose caterpillars feed on the leaves of my fig-trees .
I hate them especially when they hit the terminal leaf and bud ...!
If you have the chance, just plant "forget me not" plants as they are poisonous to stinging insects like green shieldbug .

Thanks for replies.  I won't cut off any more leaves! Never have I noticed these before.  I wonder if they came with the Brown Turkey.