Synonyms for Reclusive (same or very similar meaning)
WordNet sense 1 (withdrawn from society; seeking solitude):
recluse, withdrawn
WordNet sense 2 (not seeking or given to association; being or living without companions):
unsocial
WordNet sense 3 (providing privacy or seclusion):
cloistered, secluded, sequestered
WordNet sense 4 (confined to particular persons or groups or providing privacy):
private
From the ODE community, based on WordNet
add/edit