It's better visually. No dot, ., :, :., ::, ::., :::, etc. have increasing visual weight, which shows which are the more top-level operators without having to match up parentheses.
a * . b + c . + d * e
So may be most useful if you don't have inherent precedence, as might be the case if you're not dealing with the standard math operators.
Alternatively, one might say the dots override inherent precedence. So
a *. b*c+d*e
a * (b*c+d*e)