English-language reporting is sparse, to say the least, & I can't read Russian, Ukrainian or Romanian (well, a little from my limited knowledge of other Latin-based languages: I found I could read some simple things when I visited Romania), which I expect all have news about Transnistria.
There's an extensive review of events since the start of the war in German
here from the Baden-Württemberg State Agency for Political Information LPB-BW. Going with what's written there:
Of major concern from the Moldovan perspective were several attacks within Transnistria in April, including a grenade launcher (or mortar) fired at the Transnistrian Ministry of State Security, two attacks on Russian radio towers on the Ukrainian border and rumoured explosions at Russian bases in Transnistria all taking place within a span of a few days.
- Moldovan authorities stated that the perpetrators of these attacks could not be discerned, but that they considered them an attempt to destabilize the region. Moldavia as a reaction increased its security measures and put its military on alert at the time.
- Russia publicly called the attacks "provocations", indirectly threatened intervention and placed its troops in Transnistria in full combat readiness.
- Transnistria followed Russia in calling the attacks "provocations", raised its terror warning level to Red, placed its troops on alert, and - unlike Russia - has openly accused Ukraine for the attacks.
- Ukraine called the attacks "Russian false flag attacks" supposedly perpetrated by FSB and special forces.
These attacks on Transnistrian and Russian military assets in the region have been claimed to have continued in May, supposedly through the use of UCAVs against a garrison near the Ukrainian border as well as fire bombings against buildings in the Transnistrian capital Tiraspol. These reports apparently could not be verified or investigated further. Transnistria at the time reiterated its earlier accusation of Ukraine as perpetrators, and - according to Moldovan sources - supposedly was preparing for a general mobilization.
Like Feanor writes the attacks largely stopped after that.
There is propaganda making the rounds from all sides; of particular wider concern is a legend created by former Putin advisor Sergej Markov that Romania was planning to "annex Moldova" and "implement harsh measures against Russian-speaking citizens". Following - and citing - this same propaganda line the leaderships of the Donezk and Luhansk Russian Republics in Ukraine have called for the Russian "special operation" to be expanded to include Transnistria.
Ukraine repeatedly, in particular during the first months of the war, has threatened to attack bases in Transnistria should Russia attempt to reinforce its troops there.
In September Lavrov threatened a military intervention in Moldova, explaining that any endangerment of the security of Russian troops in Transnistria would risk military conflict and would be treated "as an attack on Russia itself". Moldova retorted by calling for Russian troops to be recalled from Transnistria.
In November/December in several instances Russian missiles intercepted by Ukrainian Air Defense fell on Moldovan territory, similar to Poland. Like with Poland, Ukraine used these instances to call for more air defense systems to be supplied to them.