Lansweeper creates asset relations between monitors and computers and stores the date when an asset relation was first scanned (or manually created). You could generate a report which lists this information. Please find an example report below.
If this does not help you to get an overview, you might need to manually add asset user relations between users and computers as well as users and monitors (please find a KB article
here about adding asset user relations). Afterwards you will be able to track if a monitor was connected to a computer which should be owned by another user.
Select Top 1000000 tblAssets.AssetID,
tblAssets.AssetName,
tsysAssetTypes.AssetTypeIcon10 As icon,
tConnected.Lastseen,
tsysAssetRelationTypes.Name As Relation,
tConnected.AssetName As [connected to],
tblAssetRelations.StartDate As since
From tblAssets
Inner Join tblAssetCustom On tblAssets.AssetID = tblAssetCustom.AssetID
Inner Join tsysAssetTypes On tsysAssetTypes.AssetType = tblAssets.Assettype
Inner Join tblAssetRelations
On tblAssets.AssetID = tblAssetRelations.ChildAssetID
Inner Join tsysAssetRelationTypes On tsysAssetRelationTypes.RelationTypeID =
tblAssetRelations.Type
Left Join tblAssets tConnected On tConnected.AssetID =
tblAssetRelations.ParentAssetID
Where tsysAssetTypes.AssetTypename = 'monitor' And tblAssetCustom.State = 1
Order By tblAssets.AssetName