How about sheep and monkey are they compatible?

This solely depends on the Goat to make it work.The Goat's gonna have to compromise big time and yield to the Monkey to make it work.
Goats are notorious to be fickle, moody, passive aggressive, clingy, slackers, capricious and outrageously hypocritical at times.However they are often "lucky" to have all the 3 basic necessities - food, shelter and money - even if they don't work for it. They are always unsatisfied and depressed due to failure in romance.
Monkeys are intensely sexual (alongwith Snakes, Dragons, Rats, Roosters and Oxen), often having the ability to read people's minds, ambitious, hardworking, practical, agile and witty.
Monkey would fare well with a Snake, Dragon, Rat, Rooster or even an Ox or Dog female.
Goat and Monkey create sexual pyrotechnics in the bedroom - but the question is whether they both are gonna to reach the bedroom in the first place.
Goat's tend to have to two set of rules - one for themselves, one for their partners - and this and the other innate dissimalirities will grate on the Monkey's impartial nature and trigger the Monkey to unceremoniously dump the Goat.
So keep it only for sex or a friend with benefits arrangement.
This way both signs are satisfied - regarding longterm relationship they both should look elsewhere.