During your stay at Mesta, you will be offered traditional sugary delights such us "spoon sweets", "submarines" (an icredibly sweet concotion submerged in ice cold water), "loukoumadedes" (donuts), chios honey, citrus marmelades, preserved fruits and sticky desserts galore, some or all flavored with mastic.
Another alcoholic drink that is produced in Mesta is souma. It is a kind of ouzo produced through distillation of figs. Souma is a very strong drink, it is pure though since it is made through a traditional way and does not contain preservatives. It is served with a variety of dried nuts and titbits. You can get it from the producers themselves.