I assume you are talking about an electronic tension head. When stringing the mains you could weave the next main. When stringing the crosses you can start to move your clamp. The clamp on the side your going to clamp is not being used to hold the last tensioned string anyway.
The secret to speed stringing is to do it as fast as possible and quality is of no concern. You don't want any miss weaves though or knot that come untied.
Everyone has the right to be stupid... it's just that some people abuse the privilege...
Balance - 31.0 cm, Weight - 358 g, SW - 346 Kgcm^2