Enter criteria and click Find Words
T at two and W at three produces one word, and it is a case for holding small objects.
An etwee is a small ornamental case for needles, scissors or other fine implements. The word is an anglicised form of the French etui, which English also borrowed unchanged.
ETUIS sits on the page for T second and U third, and ETWEE sits here. They are the same French word taken into English by two different routes and settled into two different spellings.
The word ends on a doubled E, so one of the one carries a repeat. With one entry on the page that is either a complete description or none at all.
Confirming T at two and W at three finishes the puzzle outright. There is no branch to narrow and no letter left to test.
Roughly et WEE, keeping close to the French etui it came from. The spelling is an English attempt at the sound.
Only by antique dealers and collectors. Ordinary modern English uses etui or simply calls the object a case.
TW sits at the front of words like TWIN and TWICE. Pushing it to the second and third boxes needs a vowel in front, and English built almost nothing that way.
No. With a single entry there is nothing to gain, and you would never reach the word by reasoning from letters.