Is there an independent clause in these sentences? I don't think so.
Finishing the new office before May will be a difficult task.

For some people, keeping really still is difficult.

Question

Is there an independent clause in these sentences? I don't think so. 
Finishing the new office before May will be a difficult task.

For some people, keeping really still is difficult.

anonymous · Answer

Both have independent clauses, it is just that their subjects are not simple. "finishing" used here is a gerund, a noun, and the subject. "keeping" is also a gerund  here and a subject. 

RECOGNIZING gerunds takes practice. They are verb forms used as nouns.