There's probably too much dissatisfaction with the post-Trianon borders among pretty much every one of the Little Entente's neighbors for the alliance to hold together without French and British support. Germany, Italy, Hungary, Bulgaria, the Soviets, and even Poland all want revision to it in some manner, and there is plenty of internal pressure in areas like Slovakia.
Italy in Poland gained from Versaille treaty. Issues between Czechoslovakia and Poland were not unsolvable. Czechoslovak generality urged Benes for long time to improve Czechoslovak-Polish relations. Poles were probably more dissatisfied with Czechoslovak-Soviet treaty then with Tesin area dispute.
As to Slovakia, there was internal pressure to increase Slovak self government but not directly pro German. Even Hlinka's Slovak Peoples Party till Munich called and supported defense. And remember Benes was elected president with help of Hlinka's People Party deputies in Prague! Slovaks mobilized basically without problems and stayed with their units till demobilization. Actually before 1st Vienna agreement Slovak PM Tiso called Prague to refuse Hungarians demands and defend.
Romania partially mobilized in September 1938 and again in March 1939. in 1939 Prague after creation of Protectorate and Slovak declaration requested them to do nothing as Czechoslovakia does not longer exist and defense agreement is void.
Interestingly in war times Romania, Slovakia and Croatia were heading towards sort of defense cooperation and agreement against Hungary which would be sort of recreation of Little entente in German camp. This was shot down by Germans.
I guess there was room for more in my opinion. Either Czechoslovakia ignores Munich, is attacked and fights. In case Hungary attacks, Romanians and Yugoslavs would be in. Of course if Hungary waited till imminent Czechoslovak collapse they would probably just sent more troops on the border. As Czechoslovakia had defense agreement with Soviets, Poland would very likely either do nothing or move in only shortly before collapse and very likely with Czechoslovakia actually emptying territory for them to deny it to Germans. Poland wouldn't want to risk war against Soviets by directly attacking Czechoslovakia while Czechoslovakia fights Nazi Germany. There is of course second option. Shortly before Munich Benes offered Tesin area to Poles in exchange for their neutrality and by this finally doing something what was requested by Czechoslovak generals long time before.
Of course if Benes was not so stubborn by sticking to his idea not to join any defense agreement against Soviets and not enter defense agreement with Soviet Union, Czechoslovak-Polish relation would be much better. And actually Little entente could be enlarged by Poland. Of course objective would need to be defense of members against any aggressor.
And it didn't needed to much! After all Czechoslovakia had history of anti Soviet and anti communist military actions. First Czechoslovak legionaries basically took over most of Transsiberian railway in 1918. And in 1919 Czechoslovakia fought Red Hungarians. Huge White Russian emigre group lived in Czechoslovakia - some
25 000! Commander of Czechoslovak 1st Army in 1938 was Russian officers who was promoted in Czechoslovak army to rank General of Army Sergej Nikolajevič Vojcechovský and there were many other white Russian officers in Czechoslovak army who had connection to Czechoslovakia through Legionaries.