Our ambaaL is always shown with a pAshaM (noose) and ankushaM (goad). This itself is Her leelA. They are Her important accessories. This is one way of looking at it.
Another way is this. She shows pAshaM (affection, attachment) to us; so with the ‘pAshaM’ in her hand she binds us and pulls us away from all our worldly ‘pAshaMs’ (attachments) and makes us come back to
Her with the cry ‘Oh Mother!’. And that gives us the attachment to the attachmentless Divine. ‘PatratrAn patru’ (in the language of Valluvar, in Tamil)! Again, when we fall into the Anger mode, She brings her ‘ankusham M’ (goad) on us and subdues our anger, by that very ankusham which stands in her hand as the personification of Anger (krodham) !
When Desire is unfulfilled it turns into Anger. The same Desire and Anger, in Her hands, in the form of the noose and the goad, become the cure for the two evils in human minds.