These "new old stock" vintage True Temper putter shafts are designed to install over the putter hosel.  The fit perfectly over the older style putters with a .350" tip and will install flush right over the top of it.  You can squeeze them onto a .355 but it's tight.  They are stepless and straight taper.  They are 35" long so depending on the putter will probably install to 37-39 inches and you can butt trim to desired length.  They have been stored in 3 cases loose for about 20+ years so there maybe some slight rub marks here or there but they look very clean in all.  See pics.  Thanks!