"To table the amendment" means to postpone or set aside further discussion or consideration of the proposed amendment. It implies putting it on hold or temporarily delaying any action on it. Full definition
«We are extremely grateful to peers in the House of Lords and to Emma Lewell - Buck MP for tabling amendments to the Children and Social Work Bill aimed at addressing the injustice that some parents could be legally unrepresented in court proceedings that could determine that their child was to be adopted. (frg.org.uk)
The evidence for this accusation is that Farage hasn't tabled an amendment on any EU legislation since July 2009. (politics.co.uk)
«They have so far been unable to get their own backbenchers to agree a position on housing benefit and have therefore been forced into the highly unusual position of not tabling an amendment that explicitly endorses their present proposals.» (politics.co.uk)