"We've got about 50 homes without power and could stay without power for a day or two," Ms Solomon said.
The remnants of Cyclone Pam were felt from yesterday afternoon, and had gradually built over the day.
"It's going to continue to escalate," Ms Solomon said.
"If we have to go out it will only be to assist people in dire need or to evacuate anyone else urgently.
"The island is bunking down tonight and we'll see what tomorrow brings."
Track Cyclone Pam in real-time here
Chatham Islands mayor Alfred Preece said locals were staying indoors and off the roads.
A number of roads on the islands were closed and could remain so for some time due to damage.
The Ministry of Civil Defence said Cyclone Pam was expected to lie 450km east-southeast of the Chatham Islands by midnight tonight, and damaging gales, rain and heavy swells were expected to last through to tomorrow evening.
Gisborne and the East Coast were spared significant damage as Pam passed by yesterday, with many saying the region "dodged a bullet".
Further down the coast, heavy swells pounded the Hawkes Bay, flooding coastal properties and roads.
The remnants of Cyclone Pam finally faded away to the southeast about 4.30pm yesterday, to be replaced with a strong southwesterly change.
The heavy 3-4m easterly swells on the East Coast had been expected to drop in size by midday today.
A number of witnesses have said they had "never seen swell like it before" in some parts of the district, particularly Te Araroa and Anaura Bay.
The southwesterly change brought a big easterly swell into Poverty Bay overnight.
More than 100 people voluntarily evacuated their homes during the storm at Te Araroa at the top of the cape, and further south at Anaura Bay and Waima at the northern end of Tokomaru Bay.
Most of them returned to their homes last night.
Gisborne district mayor Meng Foon said the district definitely "dodged Pam".
A full damage assessment by helicopter would determine the extent of damage.
"But at this stage we appear to have got off lightly," Mr Foon said.