Titanium is not a rare element, but it's very expensive to produce. It's not surprising that the chips aren't worth much, if anything.
This is in stark contrast to tungsten carbide, rare but cheaper to produce, thus its high scrap value.
The other option is if you do a lot of this product turning, just get someone to melt it back to bar
Titanium ingots must be cast in vacuum.
A number of standard(ish) materials like 4340 and 13-8 stainless are available with high-purity VAR (vacuum arc remelted) treatment for aerospace applications ($$$). I don't believe you can even get Ti-6Al-4V that hasn't been VAR treated at least once.
VAR machines are huge. Quite tall and part of them go underground. Energy usage is somewhere along the lines of 4000 amps @ 480v continuous for hours on end. Machines are available larger and smaller, but this would be typical.
In 1989, a DC-10 crashed due to a structural failure of a titanium compressor disc in the tail engine. It exploded and took out all the hydraulics in the plane. The material was double-VAR treated, and subsequent to the investigation, titanium engine discs are now made from triple-VAR material (the entire multi-ton ingot goes through the machine three times, each time it's completely melted and reformed into a new ingot, drop by drop). Kind of goes to show how finicky this material is compared to your more common alloys.
Going from ingot to bar is also not a simple process. I had the opportunity to tour a forging plant a few years ago, where they mentioned that ring-rolling titanium was particularly tricky because it would generate surface cracks mid-process. Each time that happened, they'd have to let the part cool completely, machine off the cracks, heat it all the way back up, and then continue forging. These rings were 8+ feet in diameter, so we're talking a huge energy expense in all the heating.
