
1) Hat holder 2) Smallish ballpark
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https://www.crosswordclues.com/clue/bandbox

1) Neat
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https://www.crosswordclues.com/clue/bandbox

• (n.) A light box of pasteboard or thin wood, usually cylindrical, for holding ruffs (the bands of the 17th century), collars, caps, bonnets, etc.
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http://thinkexist.com/dictionary/meaning/bandbox/
Band'box` (bănd'bŏks`)
noun A light box of pasteboard or thin wood, usually cylindrical, for holding ruffs (the
bands of the 17th century), collars, caps, bonnets, etc.
Found on
http://www.encyclo.co.uk/webster/B/10

[
n] - a light cylindrical box for holding light articles of attire (especially hats)
Found on
http://www.webdictionary.co.uk/definition.php?query=bandbox

A ballpark having small dimensions, which encourages offense, particularly home runs.
Found on
https://www.888sport.com/blog/glossary-sports-terms/glossary-baseball-terms
noun a light cylindrical box for holding light articles of attire (especially hats)
Found on
https://www.encyclo.co.uk/local/20974
No exact match found.