Perseus analyses of θῖν':

θῖνα,θίς (heap): masc/fem acc sg
θῖνε,θίς (heap): masc/fem nom/voc/acc dual

LSJ entry

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θίς

θίς [ῑ], θῑνός : ὁ Il. 23.693, Od. 12.45, Ar. V. 696, Phld. (v. infr.); ἡ S. Ant. 591, Ph. 1124, Arist. HA 548b6, Call. Fr. 126, D.H. 3.44:—

b. sand-bank, bar at the mouth of a river, Plb. 4.41.6: pl., banks of a stream, D.S. 1.30.

3. sand or mud at the bottom of the sea, οἶδμα . . κυλίνδει βυσσόθεν κελαινὰν θῖνα S. Ant. 591: metaph., ὥς μου τὸν θῖνα ταράττεις, i.e. trouble the very bottom of my heart, Ar. V. 696, v. Sch.

4. shore-weed, θίνʼ ἐν φυκιόεντι Il. 23.693, cf. Arist. HA 598a5; θινὸς ὄζειν ib.620a15.

II. ἄκρης [πόλιος] θίς the temple that crowns the Acropolis, dub. in Call. Fr.anon. 332.