Published Wednesday, 16 October 2013
It comes as another mural was erected by the paramilitary organisation this week.
Meanwhile, it is now three weeks since Jemma McGrath was badly injured in a shooting at Lord Street Mews in east Belfast.
The 24-year-old was shot up to five times and is still recovering in hospital.
At the time a UVF gang was blamed for the brutal attack - and the fact that no one has been arrested over the attempted murder has drawn criticism from local politicians.
It is claimed the identity of the man believed to have ordered the attack is widely known.
People want to know that - if those names are available - police are persuing those individuals.
Gavin Robinson, DUP
Gavin Robinson of the DUP said this has led to fears that paramilitaries are being allowed to stamp their authority over the community in east Belfast.
"I know that there are many people who live in fear in our community, people who can't speak out because they feel that there is a strong grip around them, that there is pressure put on them by an organisation steeped in criminality," he told UTV.
"They feel they don't get to enjoy their lives because of others who are only interested in profiteering and racketeering - that's not what we want for our community."
Police said they are following a number of lines of enquiry as part of ongoing investigations.
A statement continued: "There is an ongoing investigation in relation to the shooting incident which took place in the Lord Street Mews area of East Belfast on 25 September 2013.
"A number of lines of enquiry are being followed. As with any investigation this will follow the evidence."
Meanwhile the fresh mural, depicting masked gunmen and the Maze prison on an end gable at the junction of Carlingford Street and Ardenvohr Street, has sparked anger.
It comes just weeks after the UVF replaced a mural dedicated to football legend George Best with a sinister image of a hooded gunman at Inverwood Court in Sydenham.
Despite its strong links to the grouping, the PUP's John Kyle has described it as "offensive" and says it shows nothing but contempt for the views of the local community.
Police say they are aware that the mural has been painted and investigations are underway.
© UTV News