In most of the Greek monasteries I've been to, the services are prayed more or less at their correct times, give or take an hour.
Midnight office begins around 3am or thereabouts, followed by the Matins, which finishes at dawn, marked by the singing of the doxology. Then follows the Divine Liturgy, with the 1st Hour being read during the communion of the clergy at about 6am. After the morning meal, the 3rd and 6th Hours are prayed by the monks in their cells at their appropriate times. The 9th Hour begins around 3 or 4pm, followed by Vespers. Compline, the prayers of the 12th Hour, begin around 6pm as appointed.
I believe Slavic practice is always to read the 6th hour before the Liturgy, and so the 1st, 3rd, and 6th Hours are prayed together. At least this is what I have experienced at Slavic monasteries.