Honeysuckle seedlings can be readily hand pulled when the soil is damp. Chemical control is needed for larger infestations, as cutting alone results in vigorous resprouting. Foliar applications of glyphosate (i.e., Roundup) in late summer and fall works well as does applications of Crossbow (2,4-D + triclopyr).
Treating cut stumps with concentrated (20% - 50%) glyphosate is also quite effective. Several studies have shown basal spraying with triclopyr (Garlon) not to be effective, while basal applications with 2,4-D or picloram products work well, using an oil carrier to penetrate the bark. Cut stump and basal treatments can be done when the areas to be sprayed are dry and not frozen. Please follow all label instructions when using pesticides. (Charlie Barden and Ward Upham)