Lexical Definition

‎ἀρεσκεία‎ areskeía (ar-es'-ki-ah) pleasing ^G:N-F
from a derivative of ‎ἀρέσκω‎

pleasing.

• complaisance

Abbott-Smith

ἀρεσκία (Rec. -εία), -ας, ἡ (< ἀρέσκω), [in LXX (-εία): Pr 31:30 (חֵן)*;]
pleasing, desire to please: Col 1:10. In Gk. writers (Arist., Polyb.), most freq. in bad sense, but in π., Inscr., and in Philo, as above (v. Deiss., BS, 224; MM, s.v.; Cremer, 642).†

Abbott-Smith References

Liddell-Scott-Jones

ἀρεσκεία-εια [ᾰρ], ἡ,

(ἀρεσκεύομαι) obsequiousness, [Refs 4th c.BC+]

__2 in plural, ={δόξαι}, ἀρεσκείαοντα, αἱ ἀ. τῶν πολλῶν, of false superstitions, [Refs 1st c.AD+]; τὰ ταῖς κεναῖς σοφιστῶν ἀρεσκήαις (sic) ὑπεναντία[Refs 2nd c.BC+]
__3 in good sense, πρὸς θεὸν καὶ ἀρετήν[NT+1st c.BC+]; πρὸς τὴν ἑτέρων ἀ. βιοῦν[Refs 3rd c.AD+]

_{LSJ Scripture Refs: Col.1.10}