I have a sequence made up of multiple slates and takes that contain one video track and 8 audio tracks. All these takes are made from subclips.

I want to subclip these clips of again, but only taking the one video track and two audio tracks with me.

Is ther any way of keeping the original name of the subclips within this seqence, or will it always name the new clip "SequenceName.Sub.01"? Or is there anither way around it? I don't want to have to rename all my new subclips again.

Thanks.

If you're making a sub from a sequence, then you're making a SubSequence.  Which is why it's giving it the name with the Sequence.  The subs from the Master Clips will have the Master Clip name.  

If you want to sub it again and have the Master Clip name, you will have to do a Match Frame on the clip in the Sequence and do the sub from the clip that gets loaded into the Source Monitor