"in an open manner, without secrecy," Old English openlice "manifestly, plainly, clearly, unreservedly;" see open (adj.) + -ly (2). It corresponds to Old Saxon opanlico, Old Frisian epplik, Dutch openlijk, Old High German offanliho, German öffentlich.
he openly flaunted his affection for his sister
open-air
open-ended
opener
open-handed
opening
openly
open-minded
openness
opera
operable
operand