He took over from Katrina Lee, who started as acting principal at the end of 2015 before being appointed principal from the beginning of 2016.
"It comes down to when the next principal is appointed or what the ministry chooses to decide for the future. I may be here for two, I may not. It is hard to say," Mr Beeden said.
"Part of my job is to come in and keep the focus on the kids' learning until the powers that be decide what the next step is."
He said he chooses not to know all the details of the past because it does not reflect on anything the school is doing at the moment.
Ms Lynskey said Riverslea School has had a number of challenges over several years and many factors led to the current intervention.
"The students attending Riverslea School are the priority," she said. "They are well catered for in the classroom and playground, and have opportunities to learn about themselves and the world they live in, as at any other school."
She added that any decision to close a school lies with the Minister of Education and would occur after consultation with the community.
"School closure is a lengthy process, normally at least six months. There has been no consultation with the community."
This follows a second arson within two weeks at the school on Sunday.
A group of three or four youths allegedly entered the school grounds about 11am. They broke into an office, stealing property and damaging a worm farm before setting fire to several areas including heaped-up vegetation placed against a classroom.
Moderate damage was caused.
The incident follows an arson at the school on February 6 in which two small fires were lit, damaging the office block.