furthermore, still, yet
猶 centers on the idea of something persisting or continuing beyond expectation: still, yet, or furthermore. It marks a state that remains or an additional point that holds true.
猶 combines 犭 (dog/beast) with 酋, which likely contributes the sound. The historical connection between 'dog' and the abstract meanings 'still, yet' is uncertain; the character may have been borrowed for its sound.
A dog (犭) beside a wine vessel (酋) looks like it's waiting patiently for a drink. Even when the cup is empty, the dog is still there, yet hoping for more.
For ユウ, imagine the dog waiting for you (ユウ) to pour more wine. You -> ユウ, and the dog is still there, furthermore wagging its tail.
postponement; deferment; extension (of time)
not a moment to waste; there is no time to lose; cannot wait any longer
stay of execution; suspended sentence
payment moratorium; extension on payment; respite for payment
must not be concluded like this; shall not finish like this
without delay; promptly
grace period; moratorium
nephew (like a son); another child considered as one's own
suspension of indictment; leaving charge on the file
the last drop makes the cup run over; too much of a good thing; less is more