Yes, for Wiktionary, tablinum is:
-study, archives (room in a Roman villa)
- balcony, terrace
- picture gallery (think of the French "tableau" to mean a painting, tablinum is from tabula, same root than "tableau", and even "table", a flat thing, or board.)
So, it's a study, an office, a balcony, a picture gallery, or an archive room, but it's a also a place (any place?) covered with wooden boards. (probably all those definitions could be accepted, in some contexts, but the first meaning is "office".)
The tablinum room was first Etruscan, and later adopted by Romans.
In Roman architecture, a tablinum (or tabulinum, from tabula, board, picture) was a room generally situated on one side of the atrium and opposite to the entrance; it opened in the rear on to the peristyle, with either a large window or only an anteroom or curtain. The walls were richly decorated with fresco pictures, and busts of the family were arranged on pedestals on the two sides of the room.
The tablinum was the office in a Roman house, the father's centre for business, where he would receive his clients. It was originally the master bedroom, but later became the main office and reception room for the house master.
Another picture: https://fr.wikipedia.org/wiki/Tablinum
This is a Roman tablinum. (I wish they have illustrations for some sentences!)
The Morgan-Owens Neo-Latin Lexicon (http://neolatinlexicon.org) has
tractatorium' as first suggestion foroffice'. antother possibility would be
[conclave] scriptorium', though that would more properly be a special area for writing within a larger building. Agreed thattablinum' is usally better translated as `study'