Yes, your company name can have an objection lodged against it even if it
was approved by CIPC. If another company feels aggrieved by the approve name,
they can lodge a complaint with Tribunal.
A more likely scenario is an objection from a Trademark holder. Whilst company registrations and trademarks
are all managed by CIPC their databases are not linked. This is likely due to the multi-level
categorisation complexities of Trademarks. Therefore, Trademark infringements are
manually policed usually by the attorneys of the Trademark holder. This is a cumbersome
manual process which explains the delay in the objection for up to a year
between an approved company name and a Trademark objection.