Puck masters, or whatever they are called, that compress the chips into almost a solid mass squeezing out all the cutting oil do exist but the smallest one I have ever found has a capacity of hundreds or thousands of pounds per day and needs an electric supply capable of driving a 20 hp or larger motor.
Why not see if you can get hold of one of the water extractors that are in laundromats. They spin the clothes much faster than a regular washing machine and would probably spin the oil out. You would need to make a porous can to go inside the spinner to make it easy to empty.
An open mind is a virtue...so long as all the common sense has not leaked out.