What camera is being used? DV or HDV?
Adobe Premiere Pro has a 30 day fully functioning trial, as does Avid Media Composer, and both allow capturing "live footage".
As FCP only properly accepts .mov files using the DV, ProRes or Apple Intermediate Codec (AIC), though it can use other codecs too, but it will lead to constant rendering, either let that someone export the captured footage as QuickTime (.mov) using the DV codec (if it is SD and PAL based) or if the storage capacity is there, as uncompressed video and audio in a .mov file, though you have to transcode the footage later to an appropriate format and codec again.
If the someone uses Premiere Pro, you may be able to use the .avi files in FCP or at least transcode them in MPEG Streamclip to the aforementioned passable formats.
What is the goal and destination of the edited footage?
Could you accept H264 encoded video and transcode that?