From OpenStreetMap Wiki
|cycleway:right = lane|
|A cycle lanes only on one side of the road|
|Used on these elements|
|Status: In use|
|Tools for this tag|
A cycle lanes only on one side of the road.
- In one-way roads use cycleway=lane, since it is apparent that there is only one cycle lane. Unless the one-way road may be used in both directions of cyclists (cycleway=opposite_lane) and there are 2 bike trails.
Left or right depend on the direction in which the way is drawn in OpenStreetMap.