The phrase "arousing further" is correct and usable in written English.
It can be used in contexts where you want to indicate that something is causing an increase in interest, emotion, or activity.
Example: "The speaker's passionate delivery was arousing further enthusiasm among the audience."
Alternatives: "stimulating additional" or "provoking more".
Reedy aroused further suspicion when she declined the offer of a victim's advocate.
The decision not to impose a blanket ban on Russian athletes, despite a devastating report on a state-sponsored doping cover-up, has aroused further suspicion.
He aroused further hostility by ousting from his administration William Pitt (later 1st Earl of Chatham), creator of England's successful strategy in the Seven Years' War.
He maintained the ambivalent stance he has all year - neither in, nor out - in a way that has merely stoked the speculation and aroused further curiosity.
The report said that 448 of the 598 men who were transferred out of the prison after being held there without trial have not aroused further suspicion.
The spoiler aroused further ire on Twitter about NBC's Olympic broadcasting policy, including prime-time tape delay, that has come to be known as #nbcfail.
The bizarre field trip aroused further suspicions among executives at the Canajoharie plant, but only one, Jerome J. LiCari, head of research and development, chose to act on them.
He aroused further animosity when in 1066, at the relatively young age of 26, he attained a professorship at the important mosque of al-Manṣūr, at least partly as a result of patronage.
Recent developments in the method of finding solutions have aroused further interest in the discussion of partial dynamic equations on time scales.
Scarpia questions the Sacristan, and his suspicions are aroused further when he learns that Cavaradossi has been in the church; Scarpia mistrusts the painter, and believes him complicit in Angelotti's escape.
