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sub-smile
sub-smile n.
Brit. 
/ˈsʌbsmʌɪl/
, /ˈsʌbsmʌɪl/U.S. /ˈsəbˌsmaɪl/
/ˈsəbˌsmaɪl/ΚΠ
1836 Mirror Lit., Amusem., & Instr. 2 Jan. 10/1 You never saw any thing on his face but the same everlasting sub-smile of phlegmatic philanthropy.
1925 D. H. Lawrence in Dial July 9 He saw..the faint sub-smile of assurance on her rather large, calm, fresh-complexioned face.
2010 D. Brodsky Vivian Rising 198 If you look really hard, a sub smile has taken hold.
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