If it is real, you got a whopping good deal. If it is a fake then... Oh well.
One test is to heat a sewing needle red hot and push it into the material if it sinks in, it's plastic. If not, you may have something there. And if it sinks in there will be a little puff of smoke. It will smell of burning plastic.
$10 for real ivory scrimshaw? Did you hold a gun on the seller? I may be way of base, but, that sounds like a DEAL to me! Found a similar item from 1890 with a price of $800 to $1200:
81a.
PRINCE
Tusk, 23 inches (58 cm).
Juratone 102LTW.
Obverse: Arctic whaling scene with ship, boat, and whales among icebergs, decorative borders, whale vignette; labeled "THE WHALER PRINCE." Reverse: USA flag, two walruses; labeled "T. BOWERS, 1st Mate," "Taken from / Dead Walrus / Oct. 17, 1841."
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so at retail this replica is $50...so a guestimation of wholsale is $20.. Not bad seeing how you doubled up and not sunk something like $200 if you thought it was real.
I've heard about the hot needle trick; I think on the PBS show where people drag their antiques to a convention center.
If I recall correctly, if it is really ivory and you sink a red hot needle into it, it will smell like burning hair. If not, you bought a reproduction.