It won't hurt it, assuming that lightning doesn't strike the TV antenna - I assume you are talking about a roof mounted antenna. You didn't mention the kind of scanner you have but most have an antenna connector. On a portable, it is the BNC connector the rubber antenna uses. On desktops, there is usually a BNC or Motorola plug in the back. You can certainly just get some alligator clips and clip it on the telescoping antenna. A better solution would be to connect the coax to the antenna connector on the radio. If the TV antenna only has twin lead, which is thin, flat wire with two wires on each side, it's probably a waste fo time since so much signal will be lost.
If you do a search here on TV antenna, you'll find several threads where people have dismounted the antenna and used a couple of U-bolts to reattach the antenna so it's vertical. Since most signals you want to listen to are vertically polarized, that gets the antenna in the right orientation. If you want to listen to mostly VHF and UHF frequencies, TV antennas mounted correctly and using decent coaxial cable like RG-6 can do a suprisingly good job. Whatever you do, make sure you have a good ground for the antenna before using it just in case you do get a lightning strike.