Very interesting topic. I lived in a Greek Orthodox monastery for over 3 months (I'm Orthodox), and it was one of the most interesting and valuable experiences I've ever had. The Orthodox Church is based on monasticism (although priests are allowed to marry, in order to be a bishop or higher you have to be a monk), so unlike Roman Catholicism, monks and nuns aren't regarded as separate from other clergy, and are not divided into different orders such as Benedictines, Dominicans etc. Although monasteries are usually in a secluded location, they often serve a community of lay people as well, some of whom help with services.
But those who think that the monastic life is one of quiet contemplation and prayer would be disappointed. The usual day consisted of getting up at 04.30 for Matins and the Liturgy, followed by breakfast of black coffee and dry bread, after which you worked in the gardens/kitchen/workshop until Vespers at 18.00, which was followed by a decent supper with wine, then another short service and then bed. There was no time for personal prayer, reading or thinking beautiful thoughts, - a feature of monastic life is that 'the Devil' concentrates his efforts on religious communities and constantly tempts you with sinful thoughts - you just learn to pray within yourself while you're working ... when you're not thinking about food or sex or some other such thing!
I did think of becoming a monk, - the idea of wearing a long beard and pony tail is quite appealing - but realised that I didn't have the vocation. Monasticism has a certain Romantic attraction, but the reality is very different. However, it's possible to stay in monasteries for short periods (the Orthodox are particularly welcoming, even to those of other faiths), so for those of you who are interested I can recommend it. Monks and nuns are wonderful people, their way of thinking is completely different from the rest of the world's ... so it will come as no surprise that you will find not a few monastics who are on the spectrum.