Australia has the remnants of the imperial measurement system. This includes a few elements of counting by twelve, such as 12 inches to the foot, but incorporates many other customary multiples and sub-multiples.
Sticking with linear measures; fractions of inches are successive binary divisions, half, quarter, eighth, sixteenth, thirtysecond, sixtyfourth etc. The unit was selected according to the level of precision required but that left you to grapple with questions such as, what is the sum of 3 3/8 and 5 35/64? Linear measure of more than an inch went; foot, yard, chain, furlong and mile, which were multiples of 12, 3, 22, 10 and 8 respectively. None of this is sophisticated nor easy to work with and it isn't duodecimal. The same sort of problems happened with area, volume and weight measures but one example will do.
Time is not duodecimal either it is based, in part, on 60 (sexagesimal). Time is not decimal but it is metric.
Perhaps you are thinking of the advantage of duodecimal arithmetic, where the factor between each digit is 12 instead of 10. This has the advantage of having more sub-multiples as 12 can be factorised to 2,3,4 and 6, but 10 only has 2 and 5. While it might have that small benefit you are never going to replace decimal arithmetic with duodecimal. The basis of our arithmetic is a separate issue to measurement systems and the imperial system never worked that way. Only computer geeks have ever needed to use arithmetic with any base but 10 and that is more conceptual and logical than computational as mostly the machines do the sums.
I am quite fluent in both imperial and metric but I wouldn't wish that need on anybody. The sooner we stick to metric and remove the need to translate the better.