The FA announced on Monday that it had launched an investigation in to Chelsea's claims that Clattenburg used "inappropriate language" towards two of their players in Sunday's 3-2 defeat to Manchester United.
The alleged comments, reportedly made towards John Obi Mikel and Juan Mata, are understood to have been interpreted as racist.
Taylor, head of the Professional Footballers' Association (PFA), is wary of the fact that the most recent row concerning racism in football - that involving Blues captain John Terry - dragged on for almost a year before he was banned by the FA, and he does not want this case to go on for such a long period of time.
"We've got to learn the lessons of the last 12 months," Taylor said.
"This is extremely serious for the referee involved so that's why it's important that it is dealt with in the most thorough manner and as quickly, efficiently, and transparently as possible."
Central to the outcome of this case will be whether either of the three other officials on duty at Stamford Bridge heard Clattenburg say anything untoward through their linked head-sets.
One piece of evidence that will be not be there for any investigation is a recording of what Clattenburg said, however, as what is said by the officials is not recorded.
Taylor thinks those conversations should be recorded to help any cases that come up in the future concerning referees.
"The PFA have never been against that (recording what is said)," he said.
"That could be an aid for clarity over what exactly has happened in those situations."