Tungsten putty slippage can be prevented in three ways, which will leave the putty stationary even after repeated casting.
Choose the sausage shape tungsten putty other than the ball shape. If you are applying it to mono, avoid rolling it into a ball shape, simply roll the tungsten putty between finger and thumb into a longer sausage. You have now increased the surface area giving tungsten putty more line to sit on, tungsten putty likes mono, bond together with line very well. If you roll it into a ball it has little space to sit on, even lead shot slips, unless you bite it really hard it will move on fine line due to repeated casting, as its round shape.
Twiddle a sausage shaped into almost a coat of paint along a length of mono. Take a small piece of tungsten putty and keep twiddling it along a length of mono, eventually the original small piece will be around six inches long just like a coat of paint but still weigh the same. It of course will not move because of all the surface area has to bond to. This method is superb for float anglers who want a slow sinking length of mono allowing the hook bait to sink very slowly as opposed to shot, which will sink too fast.
Keep rubbing the tungsten putty until it gets warm before putting it onto line. Tungsten putty is amazing stuff when you play with it, the more you roll it the warmer it becomes, the warmer it gets the stretcher it gets. If you snap a piece off and stretch it a few times then place it between the palms of your hand and vigorously rub your palms together, it will create friction. Carry on rubbing and the tungsten putty will become very soft and stretchy just like chewing gum, this method obviously makes molding very easy.